Huizhang Yang, Ding Yu-min, Mu Feng
Abstract
Let x: Mn → Nn+pp (r) be a pseudo-Riemannian manifold isometri-cally immersed into pseudo-Riemannian space Nn+pp (r). In this paper, we generalize the Takahashi Theorem and obtain some results of maxi-mal space-like submanifolds in the pseudo-Riemannian space.
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Let x: Mn → Nn+pp (r) be a pseudo-Riemannian manifold isometri-cally immersed into pseudo-Riemannian space Nn+pp (r). In this paper, we generalize the Takahashi Theorem and obtain some results of maxi-mal space-like submanifolds in the pseudo-Riemannian space.
Key concepts: Riemannian manifold, Mathematics, Space (punctuation), Space form, Mathematical analysis, Pure mathematics, Exponential map (Riemannian geometry), Riemannian submersion