Gradient Einstein-type structures immersed into a Riemannian warped product

Autor:	Elismar Batista, Levi Adriano, Willian Tokura
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry Differential Geometry (math.DG) FOS: Mathematics General Physics and Astronomy Mathematics::Differential Geometry Geometry and Topology Mathematical Physics
Zdroj:	Journal of Geometry and Physics. 176:104510
ISSN:	0393-0440
DOI:	10.1016/j.geomphys.2022.104510
Popis:	In this paper, we study gradient Einstein-type structure immersed into a Riemannian warped product manifold. We obtain some triviality results for the potential function and smooth map $u$. We investigate conditions for a gradient Einstein-type structure to be minimal, totally umbilical, or totally geodesic immersed into a warped product $I\times_f M^n$. Furthermore, we characterize rotational hypersurface into $\mathbb{R}\times_f\mathbb{R}^n$ has a gradient Einstein-type structure. arXiv admin note: text overlap with arXiv:2010.03995
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a98bc65b912d5174393598a19dfcea81 https://doi.org/10.1016/j.geomphys.2022.104510 Zobrazit plný text záznamu Full Text from ScienceDirect