Spacelike submanifolds of de-Sitter space and application of index form

In this paper we develop the total umbilicity of the spacelike submanifold M of a de-Sitter space with the help of some integral formulas, index form of a nonnull geodesic and the Jacobi equation.

Bibliographic Details
Main Authors: Mohammed Jamali, Mohammad Hasan Shahid
Format: Article
Language:English
Published: SpringerOpen 2015-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X14001345