A characterization of H-strictly convex hypersurfaces in hyperbolic space by the Ricci curvatures

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Tarih

2010

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Yayıncı

Geometry Balkan Press

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In previous papers the first author obtained some upper bound estimations for the Ricci curvatures of the hypersurfaces in a sphere ([6]) and in a hyperbolic manifold ([4], [5]) by the extremum principle. In the present paper, we introduce an H-strictly convex hypersurface in the hyperbolic space N(n+1) and using a result given by B.Y.Chen in [2] we give a lower bound approximation for the Ricci curvature of a H-strictly convex hypersurface in N(n+1).

Açıklama

International Conference on Differencial Geometry and Dynamical Systems (DGDS) -- OCT 08-11, 2009 -- Bucharest, ROMANIA

Anahtar Kelimeler

Ricci curvature, H-convex hypersurface, hyperbolic space

Kaynak

Bsg Proceedings 17 - Proceedings Of The International Conference Of Differential Geometry And Dynamical Systems (Dgds-2009)

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N/A

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