Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold

التفاصيل البيبلوغرافية
العنوان: Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold
المؤلفون: Karmakar, Payel
المجموعة: Czech Academy of Sciences: dKNAV / Knihovna Akademie věd České Republiky
مصطلحات موضوعية: anti-invariant submanifold, trans-Sasakian manifold, Zamkovoy connection, $\eta$-Einstein manifold, Ricci curvature tensor, concircular curvature tensor, projective curvature tensor, $M$-projective curvature tensor, pseudo projective curvature tensor, Ricci soliton
جغرافية الموضوع: 419-434
الوصف: The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection. The nature of Ricci flat, concircularly flat, $\xi$-projectively flat, $M$-projectively flat, $\xi$-$M$-projectively flat, pseudo projectively flat and $\xi$-pseudo projectively flat anti-invariant submanifolds of trans-Sasakian manifold admitting Zamkovoy connection are discussed. Moreover, Ricci solitons on Ricci flat, concircularly flat, $M$-projectively flat and pseudo projectively flat anti-invariant submanifolds of trans-Sasakian manifold admitting the aforesaid connection are studied. At last, some conclusions are made after observing all the results and an example of an anti-invariant submanifold of a trans-Sasakian manifold is given in which all the results can be verified easily.
نوع الوثيقة: other/unknown material
وصف الملف: média; svazek
اللغة: English
العلاقة: https://kramerius.lib.cas.cz/view/uuid:e4614471-5bc8-462d-ba27-6ccc9e90a7d0Test
DOI: 10.21136/MB.2021.0058-21
الإتاحة: https://doi.org/10.21136/MB.2021.0058-21Test
https://kramerius.lib.cas.cz/view/uuid:e4614471-5bc8-462d-ba27-6ccc9e90a7d0Test
حقوق: policy:public
رقم الانضمام: edsbas.F60CA00D
قاعدة البيانات: BASE