First eigenvalue of submanifolds in Euclidean space.
Cai, Kairen (2000)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Pseudo-parallel submanifolds of a space form.”
First eigenvalue of submanifolds in Euclidean space.
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Characterization of the Pseudo-symmetries of Ideal Wintgen Submanifolds of Dimension 3
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Topological and metric rigidity teorems for hypersurfaces in a hyperbolic space
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In this paper we study the topological and metric rigidity of hypersurfaces in , the -dimensional hyperbolic space of sectional curvature . We find conditions to ensure a complete connected oriented hypersurface in to be diffeomorphic to a Euclidean sphere. We also give sufficient conditions for a complete connected oriented closed hypersurface with constant norm of the second fundamental form to be totally umbilic.