المؤلفون: Karmakar, Payel

مصطلحات موضوعية: keyword:anti-invariant submanifold, keyword:trans-Sasakian manifold, keyword:Zamkovoy connection, keyword:$\eta $-Einstein manifold, keyword:Ricci curvature tensor, keyword:concircular curvature tensor, keyword:projective curvature tensor, keyword:$M$-projective curvature tensor, keyword:pseudo projective curvature tensor, keyword:Ricci soliton\looseness -1, msc:53C05, msc:53C15, msc:53C20, msc:53C25, msc:53C40

وصف الملف: application/pdf

العلاقة: mr:MR4482315; zbl:Zbl 07584134; reference:[1] Baishya, K. K., Biswas, A.: Study on generalized pseudo (Ricci) symmetric Sasakian manifold admitting general connection.Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 12 (2019), 233-246. MR 4059157, 10.31926/but.mif.2019.12.61.2.4; reference:[2] Biswas, A., Baishya, K. K.: A general connection on Sasakian manifolds and the case of almost pseudo symmetric Sasakian manifolds.Sci. Stud. Res., Ser. Math. Inform. 29 (2019), 59-72. MR 4089056; reference:[3] Blaga, A. M.: Canonical connections on para-Kenmotsu manifolds.Novi Sad J. Math. 45 (2015), 131-142. Zbl 06749324, MR 3432562, 10.30755/NSJOM.2014.050; reference:[4] Chaubey, S. K., Ojha, R. H.: On the $m$-projective curvature tensor of a Kenmotsu manifold.Differ. Geom. Dyn. Syst. 12 (2010), 52-60. Zbl 1200.53028, MR 2606546; reference:[5] Chaubey, S. K., Prakash, S., Nivas, R.: Some properties of $m$-projective curvature tensor in Kenmotsu manifolds.Bull. Math. Anal. 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الإتاحة: https://doi.org/10.21136/MB.2021.0058-21Test
http://hdl.handle.net/10338.dmlcz/151017Test

المؤلفون: Lu, Wei, Mao, Jing, Wu, Chuanxi

مصطلحات موضوعية: keyword:Hadamard manifold, keyword:Neumann eigenvalue, keyword:radial Ricci curvature, msc:35P15, msc:53C20

وصف الملف: application/pdf

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الإتاحة: https://doi.org/10.21136/CMJ.2019.0363-18Test
http://hdl.handle.net/10338.dmlcz/148240Test

المؤلفون: Mao, Jing

مصطلحات موضوعية: keyword:Caffarelli-Kohn-Nirenberg type inequality, keyword:weighted Ricci curvature, keyword:volume comparison, msc:31C12, msc:53C21

وصف الملف: application/pdf

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الإتاحة: https://doi.org/10.21136/CMJ.2019.0214-18Test
http://hdl.handle.net/10338.dmlcz/148051Test

المؤلفون: Santos, M. S.

مصطلحات موضوعية: keyword:Bakry-Emery Ricci curvature tensor, keyword:closure theorem, keyword:Riccati equation, msc:53C20

وصف الملف: application/pdf

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الإتاحة: https://doi.org/10.14712/1213-7243.2015.177Test
http://hdl.handle.net/10338.dmlcz/146029Test

المؤلفون: Khanh, Nguyen Ngoc

مصطلحات موضوعية: keyword:gradient estimates, keyword:general heat equation, keyword:Laplacian comparison theorem, keyword:$V$-Bochner-Weitzenböck, keyword:Bakry-Emery Ricci curvature, msc:35B53, msc:58J35

وصف الملف: application/pdf

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الإتاحة: https://doi.org/10.5817/AM2016-4-207Test
http://hdl.handle.net/10338.dmlcz/145929Test

المؤلفون: Abedi, Esmaeil, Ziabari, Reyhane Bahrami, Tripathi, Mukut Mani

مصطلحات موضوعية: keyword:Ricci curvature, keyword:scalar curvature, keyword:squared mean curvature, keyword:conformal Sasakian space form, msc:53C25, msc:53C40, msc:53D15

وصف الملف: application/pdf

العلاقة: mr:MR3535632; zbl:Zbl 06644062; reference:[1] Bejancu, A.: Geometry of CR-submanifolds.Mathematics and its Applications (East European Series), vol. 23, D. Reidel Publishing Co., Dordrecht, 1986. Zbl 0605.53001, MR 0861408; reference:[2] Blair, D.E.: Contact manifolds in Riemannian geometry.Math., vol. 509, Springer-Verlag, New York, 1976. Zbl 0319.53026, MR 0467588; reference:[3] Blair, D.E.: Riemannian geometry of contact and symplectic manifolds.Progress in Mathematics, vol. 203, Birkhauser Boston, Inc., Boston, MA, 2002. Zbl 1011.53001, MR 1874240; reference:[4] Cabrerizo, J.L., Carriazo, A., Fernandez, L.M., Fernandez, M.: Slant submanifolds in Sasakian manifolds.Glasgow Math. J. 42 (1) (2000), 125–138. Zbl 0957.53022, MR 1739684, 10.1017/S0017089500010156; reference:[5] Chen, B.Y.: Some pinching and classification theorems for minimal submanifolds.Arch. Math. (Basel) 60 (6) (1993), 568–578. Zbl 0811.53060, MR 1216703, 10.1007/BF01236084; reference:[6] Chen, B.Y.: Mean curvature and shape operator of isometric immersions in real space form.Glasgow Math. J. 38 (1996), 87–97. MR 1373963, 10.1017/S001708950003130X; reference:[7] Chen, B.Y.: Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions.Glasgow Math. J. 41 (1999), 33–41. Zbl 0962.53015, MR 1689730, 10.1017/S0017089599970271; reference:[8] Chen, B.Y.: On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms.Arch. Math. (Basel) 74 (2000), 154–160. Zbl 1037.53041, MR 1735232, 10.1007/PL00000420; reference:[9] Defever, F., Mihai, I., Verstrelen, L.: B.Y.Chen’s inequality for $C$-totally real submanifolds of Sasakian space forms.Boll. Un. Mat. Ital. B (7) 11 (1997), 365–374. MR 1459285; reference:[10] Hong, S., Tripathi, M.M.: On Ricci curvature of submanifolds.Internat. J. Pure Appl. Math. Sci. 2 (2) (2005), 227–245. Zbl 1131.53309, MR 2294062; reference:[11] Hong, S., Tripathi, M.M.: On Ricci curvature of submanifolds of generalized Sasakian space forms.Internat. J. Pure Appl. Math. Sci. 2 (2) (2005), 173–201. Zbl 1131.53308, MR 2294058; reference:[12] Hong, S., Tripathi, M.M.: Ricci curvature of submanifolds of a Sasakian space form.Iranian Journal of Mathematical Sciences and Informatics 1 (2) (2006), 31–51. Zbl 1301.53051, MR 2294062; reference:[13] Mihai, I.: Ricci curvature of submanifolds in Sasakian space forms.J. Austral. Math. Soc. 72 (2002), 247–256. Zbl 1017.53052, MR 1887135, 10.1017/S1446788700003888; reference:[14] Petersen, P.: Riemannian geometry.Springer-Verlag, 2006. Zbl 1220.53002, MR 2243772; reference:[15] Tripathi, M.M.: Almost semi-invariant submanifolds of trans-Sasakian manifolds.J. Indian Math. Soc. (N.S.) 62 (1–4) (1996), 225–245. Zbl 0901.53040, MR 1458496; reference:[16] Vaisman, I.: Conformal changes of almost contact metric structures.Geometry and Differential Geometry, Lecture Notes in Math., vol. 792, 1980, pp. 435–443. Zbl 0431.53030, MR 0585886; reference:[17] Yamaguchi, S., Kon, M., Ikawa, T.: C-totallly real submanifolds.J. Differential Geom. 11 (1) (1976), 59–64. MR 0405294, 10.4310/jdg/1214433297

الإتاحة: https://doi.org/10.5817/AM2016-2-113Test
http://hdl.handle.net/10338.dmlcz/145745Test

المؤلفون: Mao, Jing

مصطلحات موضوعية: keyword:spherically symmetric manifolds, keyword:radial Ricci curvature, keyword:radial sectional curvature, keyword:volume comparison, msc:52A38, msc:53C20, msc:53C21

وصف الملف: application/pdf

العلاقة: mr:MR3483223; zbl:Zbl 06587874; reference:[1] Abresch, U.: Lower curvature bounds, Toponogov's theorem, and bounded topology.Ann. Sci. Éc. Norm. Supér. (4) 18 (1985), 651-670. MR 0839689, 10.24033/asens.1499; reference:[2] Barroso, C. S., Bessa, G. Pacelli: Lower bounds for the first Laplacian eigenvalue of geodesic balls of spherically symmetric manifolds.Int. J. Appl. Math. Stat. 6 (2006), Article No. D06, 82-86. MR 2338140; reference:[3] Chavel, I.: Eigenvalues in Riemannian Geometry.Pure and Applied Mathematics 115 Academic Press, Orlando (1984). MR 0768584; reference:[4] Cheeger, J., Yau, S. T.: A lower bound for the heat kernel.Commun. Pure Appl. Math. 34 (1981), 465-480. MR 0615626, 10.1002/cpa.3160340404; reference:[5] Cheng, S.-Y.: Eigenfunctions and eigenvalues of Laplacian.Differential Geometry Proc. Sympos. Pure Math. 27, Stanford Univ., Stanford, Calif., 1973, Part 2 Amer. Math. Soc., Providence (1975), 185-193 S. S. Chern et al. MR 0378003; reference:[6] Cheng, S.-Y.: Eigenvalue comparison theorems and its geometric applications.Math. Z. 143 (1975), 289-297. MR 0378001, 10.1007/BF01214381; reference:[7] Elerath, D.: An improved Toponogov comparison theorem for nonnegatively curved manifolds.J. Differ. Geom. 15 (1980), 187-216. MR 0614366, 10.4310/jdg/1214435490; reference:[8] Freitas, P., Mao, J., Salavessa, I.: Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds.Calc. Var. Partial Differ. Equ. 51 (2014), 701-724. Zbl 1302.35275, MR 3268868, 10.1007/s00526-013-0692-7; reference:[9] Gage, M. E.: Upper bounds for the first eigenvalue of the Laplace-Beltrami operator.Indiana Univ. Math. J. 29 (1980), 897-912. MR 0589652, 10.1512/iumj.1980.29.29061; reference:[10] Hu, Z., Jin, Y., Xu, S.: A volume comparison estimate with radially symmetric Ricci curvature lower bound and its applications.Int. J. Math. Math. Sci. 2010 (2010), Article ID 758531, 14 pages. Zbl 1196.53024, MR 2629591; reference:[11] Itokawa, Y., Machigashira, Y., Shiohama, K.: Maximal diameter theorems for manifolds with restricted radial curvature.Proc. of the 5th Pacific Rim Geometry Conf., Tôhoku University, Sendai, Japan, 2000 Tohoku Math. Publ. 20 Tôhoku University, Sendai (2001), 61-68 S. Nishikawa. Zbl 1065.53033, MR 1864887; reference:[12] Kasue, A.: A Laplacian comparison theorem and function theoretic properties of a complete Riemannian manifold.Jap. J. Math., New Ser. 8 (1982), 309-341. MR 0722530, 10.4099/math1924.8.309; reference:[13] Katz, N. N., Kondo, K.: Generalized space forms.Trans. Am. Math. Soc. 354 (2002), 2279-2284. Zbl 0990.53032, MR 1885652, 10.1090/S0002-9947-02-02966-5; reference:[14] Klingenberg, W.: Contributions to Riemannian geometry in the large.Ann. Math. (2) 69 (1959), 654-666. MR 0105709, 10.2307/1970029; reference:[15] Mao, J.: Eigenvalue inequalities for the {$p$}-Laplacian on a Riemannian manifold and estimates for the heat kernel.J. Math. Pures Appl. (9) 101 (2014), 372-393. Zbl 1285.58013, MR 3168915, 10.1016/j.matpur.2013.06.006; reference:[16] Mao, J.: Eigenvalue Estimation and some Results on Finite Topological Type.Ph.D. thesis Mathematics department of Instituto Superior Técnico-Universidade Técnica de Lisboa (2013).; reference:[17] Petersen, P.: Riemannian Geometry.Graduate Texts in Mathematics 171 Springer, New York (2006). Zbl 1220.53002, MR 2243772; reference:[18] Shiohama, K.: Comparison theorems for manifolds with radial curvature bounded below.Differential Geometry, Proc. of the First International Symposium, Josai University, Saitama, Japan, 2001, Josai Math. Monogr. 3 Josai University, Graduate School of Science, Saitama (2001), 81-91 Q.-M. Cheng. Zbl 1037.53018, MR 1824602; reference:[19] Zhu, S.: The comparison geometry of Ricci curvature.Comparison Geometry, Berkeley, 1993-1994 Math. Sci. Res. Inst. Publ. 30 Cambridge University, Cambridge (1997), 221-262 K. Grove et al. MR 1452876

الإتاحة: https://doi.org/10.1007/s10587-016-0240-7Test
http://hdl.handle.net/10338.dmlcz/144877Test

المؤلفون: Roth, Julien

مصطلحات موضوعية: keyword:hypersurfaces, keyword:rigidity, keyword:pinching, keyword:Ricci curvature, keyword:umbilicity tensor, keyword:higher order mean curvatures, keyword:$\theta $-quasi-isometry, msc:53A07, msc:53A10, msc:53C20, msc:53C24

وصف الملف: application/pdf

العلاقة: mr:MR3073010; zbl:Zbl 06321142; reference:[1] Aubry, E.: Finiteness of $\pi _1$ and geometric inequalities in almost positive Ricci curvature.Ann. Sci. École Norm. Sup. (4) 40 (4) (2007), 6757–695. Zbl 1141.53034, MR 2191529; reference:[2] Colbois, B., Grosjean, J. F.: A pinching theorem for the first eigenvalue of the Laplacian on hypersurfaces of the Euclidean space.Comment. Math. Helv. 82 (2007), 175–195. Zbl 1112.53003, MR 2296061, 10.4171/CMH/88; reference:[3] Fialkow, A.: Hypersurfaces of a space of constant curvature.Ann. of Math. (2) 39 (1938), 762–783. Zbl 0020.06601, MR 1503435, 10.2307/1968462; reference:[4] Grosjean, J. F.: Upper bounds for the first eigenvalue of the Laplacian on compact manifolds.Pacific J. Math. 206 (1) (2002), 93–111. MR 1924820, 10.2140/pjm.2002.206.93; reference:[5] Grosjean, J. F., Roth, J.: Eigenvalue pinching and application to the stability and the almost umbilicity of hypersurfaces.Math. Z. 271 (1) (2012), 469–488. Zbl 1243.53071, MR 2917153, 10.1007/s00209-011-0872-0; reference:[6] Hoffman, D., Spruck, D.: Sobolev and isoperimetric inequalities for Riemannian submanifolds.Comm. Pure Appl. Math. 27 (1974), 715–727. Zbl 0295.53025, MR 0365424, 10.1002/cpa.3160270601; reference:[7] Reilly, R.C.: On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space.Comment. Math. Helv. 52 (1977), 525–533. Zbl 0382.53038, MR 0482597, 10.1007/BF02567385; reference:[8] Roth, J.: Pinching of the first eigenvalue of the Laplacian and almost-Einstein hypersurfaces of Euclidean space.Ann. Global Anal. Geom. 33 (3) (2008), 293–306. MR 2390836, 10.1007/s10455-007-9086-4; reference:[9] Shiohama, K., Xu, H.: Rigidity and sphere theorems for submanifolds.Kyushu J. Math. 48 (2) (1994), 291–306. Zbl 0826.53045, MR 1294532, 10.2206/kyushujm.48.291; reference:[10] Shiohama, K., Xu, H.: Rigidity and sphere theorems for submanifolds II.Kyushu J. Math. 54 (1) (2000), 103–109. Zbl 1005.53028, MR 1762795, 10.2206/kyushujm.54.103; reference:[11] Thomas, T. Y.: On closed space of constant mean curvature.Amer. J. Math. 58 (1936), 702–704. MR 1507192, 10.2307/2371240; reference:[12] Vlachos, T.: Almost-Einstein hypersurfaces in the Euclidean space.Illinois J. Math. 53 (4) (2009), 1221–1235. Zbl 1213.53072, MR 2741186

الإتاحة: https://doi.org/10.5817/AM2013-1-1Test
http://hdl.handle.net/10338.dmlcz/143292Test

المؤلفون: Ruiz, Juan Miguel

مصطلحات موضوعية: keyword:conformally Einstein manifolds, keyword:positive Ricci curvature, msc:53A30, msc:53C21, msc:53C25

وصف الملف: application/pdf

العلاقة: mr:MR2591667; zbl:Zbl 1212.53015; reference:[1] Akutagawa, K., Florit, L., Petean, J.: On Yamabe constants of Riemannian products.Comm. Anal. Geom. 15 (5) (2007), 947–969, e-print math. DG/0603486. Zbl 1147.53032, MR 2403191; reference:[2] Besse, A.: Einstein manifolds.Ergeb. Math. Grenzgeb (3), 10, Springer, Berlin, 1987. Zbl 0613.53001, MR 0867684; reference:[3] Gover, R., Nurowski, P.: Obstructions to conformally Einstein metrics in n dimensions.J. Geom. Phys. 56 (2006), 450–484. Zbl 1098.53014, MR 2171895, 10.1016/j.geomphys.2005.03.001; reference:[4] Ilias, S.: Constantes explicites pour les inegalites de Sobolev sur les varietes riemannianes compactes.Ann. Inst. Fourier (Grenoble) 33 (2), 151–165. MR 0699492, 10.5802/aif.921; reference:[5] Listing, M.: Conformal Einstein spaces in N-dimensions.Ann. Global Anal. Geom. 20 (2001), 183–197. Zbl 1024.53031, MR 1857177, 10.1023/A:1011612830580; reference:[6] Listing, M.: Conformal Einstein spaces in N-dimensions II.J. Geom. Phys. 56 (2006), 386–404. Zbl 1089.53030, MR 2171892, 10.1016/j.geomphys.2005.02.008; reference:[7] Moroianu, A., Ornea, L.: Conformally Einstein products and nearly Kähler manifolds.Ann. Global Anal. Geom. 22 (2008 (1)), 11–18, arXiv:math./0610599v3 [math.DG] (2007). MR 2369184; reference:[8] Obata, M.: The conjectures on conformal transformations of Riemannian manifolds.J. Differential Geometry 6 (1971), 247–248. Zbl 0236.53042, MR 0303464; reference:[9] Petean, J.: Isoperimetric regions in spherical cones and Yamabe constants of $M\times S^1$.Geom. Dedicata (2009), to appear. Zbl 1188.53035, MR 2576291

الإتاحة: http://hdl.handle.net/10338.dmlcz/128293Test

المؤلفون: Liu, Ximin

مصطلحات موضوعية: keyword:Ricci curvature, keyword:totally real submanifolds, keyword:quaternion projective space, msc:53C26, msc:53C40, msc:53C42

وصف الملف: application/pdf

العلاقة: mr:MR1942659; zbl:Zbl 1090.53052; reference:[1] Chen B. Y.: Some pinching and classification theorems for minimal submanifolds.Arch. Math. 60 (1993), 568–578. Zbl 0811.53060, MR 1216703; reference:[2] Chen B. Y.: Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimension.Glasgow Math. J. 41 (1999), 33–41. MR 1689730; reference:[3] Chen B. Y.: On Ricci curvature of isotropic and Lagrangian submanifolds in the complex space forms.Arch. Math. 74 (2000), 154–160. MR 1735232; reference:[4] Chen B. Y., Dillen F., Verstraelen L., Vrancken L.: Totally real submanifolds of $CP^n$ satisfying a basic equality.Arch. Math. 63 (1994), 553–564. MR 1300757; reference:[5] Chen B. Y., Dillen F., Verstraelen L., Vrancken L.: An exotic totally real minimal immersion of $S^3$ and $CP^3$ and its characterization.Proc. Royal Soc. Edinburgh, Sect. A, Math. 126 (1996), 153–165. Zbl 0855.53011, MR 1378838; reference:[6] Chen B. Y., Houh C. S.: Totally real submanifolds of a quaternion projective space.Ann. Mat. Pura Appl. 120 (1979), 185–199. Zbl 0413.53031, MR 0551066; reference:[7] Ishihara S.: Quaternion Kaehlerian manifolds.J. Differential Geom. 9 (1974), 483–500. Zbl 0297.53014, MR 0348687

الإتاحة: http://hdl.handle.net/10338.dmlcz/107843Test