Shu Shi
Abstract
Let M be a complete n dimensional Space like Submanifold in the de sitter space S n+p p(c) with parallel mean curvature vector, we proved that, if the squared length of the second fundamental form of M,S2n-1c then M is totally umblical in S n+p p(c).
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Let M be a complete n dimensional Space like Submanifold in the de sitter space S n+p p(c) with parallel mean curvature vector, we proved that, if the squared length of the second fundamental form of M,S2n-1c then M is totally umblical in S n+p p(c).
Key concepts: Submanifold, Mean curvature, De Sitter space, Mathematics, Anti-de Sitter space, Second fundamental form, Curvature, Space (punctuation)