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2004•Journal of Xuzhou Normal UniversityRequires access

The Compact Space-like Maximal Submanifolds of a Pseudo-Riemannian Space N_p~(n+p)(c)

Mei Zhang

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Abstract

Let M~n be a compact space-like maximal submanifold in an indefinite space-form (N~(n+1)_(p)(c)). A sharp estimate for the upper bound of the second fundamental form of M~n is obtained. Moreover, some results of Ricci curvature are extended and improved.

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What this paper is about

Let M~n be a compact space-like maximal submanifold in an indefinite space-form (N~(n+1)_(p)(c)). A sharp estimate for the upper bound of the second fundamental form of M~n is obtained. Moreover, some results of Ricci curvature are extended and improved.

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Available abstract

Let M~n be a compact space-like maximal submanifold in an indefinite space-form (N~(n+1)_(p)(c)). A sharp estimate for the upper bound of the second fundamental form of M~n is obtained. Moreover, some results of Ricci curvature are extended and improved.

Key concepts: Submanifold, Ricci curvature, Mathematics, Space (punctuation), Second fundamental form, Space form, Mathematical analysis, Upper and lower bounds

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