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.
Jamali, M., & Shahid, M. H. (2015). Spacelike submanifolds of de-Sitter space and application of index form. Journal of the Egyptian Mathematical Society, 23(3), 523-526. doi: 10.1016/j.joems.2014.12.003
MLA
Mohammed Jamali; Mohammad Hasan Shahid. "Spacelike submanifolds of de-Sitter space and application of index form", Journal of the Egyptian Mathematical Society, 23, 3, 2015, 523-526. doi: 10.1016/j.joems.2014.12.003
HARVARD
Jamali, M., Shahid, M. H. (2015). 'Spacelike submanifolds of de-Sitter space and application of index form', Journal of the Egyptian Mathematical Society, 23(3), pp. 523-526. doi: 10.1016/j.joems.2014.12.003
VANCOUVER
Jamali, M., Shahid, M. H. Spacelike submanifolds of de-Sitter space and application of index form. Journal of the Egyptian Mathematical Society, 2015; 23(3): 523-526. doi: 10.1016/j.joems.2014.12.003
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