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.
Submanifold theory and parallel transport
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Characterization of the Pseudo-symmetries of Ideal Wintgen Submanifolds of Dimension 3
Ryszard Deszcz, Miroslava Petrović-Torgašev, Zerrin Şentürk, Leopold Verstraelen (2010)
Publications de l'Institut Mathématique
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Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space
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Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds
J. Deprez, R. Deszcz, L. Verstraelen (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Totally real submanifolds in a complex projective space.
Liu, Ximin (1999)
International Journal of Mathematics and Mathematical Sciences
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Topological and metric rigidity teorems for hypersurfaces in a hyperbolic space
Qiaoling Wang, Chang Yu Xia (2007)
Czechoslovak Mathematical Journal
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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.