دورية أكاديمية
Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold
| العنوان: | Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold |
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| المؤلفون: | Barilari D., Habermann K. |
| المساهمون: | Barilari, D., Habermann, K. |
| بيانات النشر: | SPRINGER INT PUBL AG |
| سنة النشر: | 2024 |
| المجموعة: | Padua Research Archive (IRIS - Università degli Studi di Padova) |
| مصطلحات موضوعية: | Contact manifold, Hypersurface, Model space, Pfaffian equation, Radial proce, Sub-Laplacian, Sub-Riemannian geometry |
| الوصف: | We construct and study the intrinsic sub-Laplacian, defined outside the set of characteristic points, for a smooth hypersurface embedded in a contact sub-Riemannian manifold. We prove that, away from characteristic points, the intrinsic sub-Laplacian arises as the limit of Laplace-Beltrami operators built by means of Riemannian approximations to the sub-Riemannian structure using the Reeb vector field. We carefully analyse three families of model cases for this setting obtained by considering canonical hypersurfaces embedded in model spaces for contact sub-Riemannian manifolds. In these model cases, we show that the intrinsic sub-Laplacian is stochastically complete and in particular, that the stochastic process induced by the intrinsic sub-Laplacian almost surely does not hit characteristic points. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/wos/WOS:001088061100001; volume:31; issue:1; journal:NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS; https://hdl.handle.net/11577/3505190Test; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85174915225 |
| DOI: | 10.1007/s00030-023-00891-7 |
| الإتاحة: | https://doi.org/10.1007/s00030-023-00891-7Test https://hdl.handle.net/11577/3505190Test |
| رقم الانضمام: | edsbas.B4000940 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s00030-023-00891-7 |
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