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

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.

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Veröffentlicht in:Journal of the Egyptian Mathematical Society 2015-10, Vol.23 (3), p.523-526
Hauptverfasser: Jamali, Mohammed, Shahid, Mohammad Hasan
Format: Artikel
Sprache:eng
Schlagworte:
de-Sitter space
Index form
Jacobi equation
Spacelike submanifold
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Zusammenfassung: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.
ISSN:1110-256X
2090-9128
DOI:10.1016/j.joems.2014.12.003