A fundamental theorem for submanifolds in semi-Riemannian warped products

JOURNAL OF GEOMETRY AND PHYSICS

卷:144

Article

David Ribeiro, Carlos Augusto¹  de Melo, Marcos Ferreira² 

[1] Univ Fed Piaui, Dept Econ & Quantitat Sci, BR-64000000 Parnaiba, PI, Brazil

[2] Univ Fed Ceara, Math Dept, BR-60455760 Fortaleza, Ceara, Brazil

关键词: Fundamental theorem;    Structure equations;    Warped product;    Submanifolds;    Semi-Riemannian manifolds;   

DOI  :  10.1016/j.geomphys.2019.05.013

来源: Elsevier

【 摘 要 】

In this paper we find necessary and sufficient conditions for a nondegenerate arbitrary signature manifold to be realized as a submanifold in the large class of warped product manifolds. This comprises the case of hypersurfaces immersed in semi-Riemannian warped products proved by M.A. Lawn and M. Ortega in 2015. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free