SOME ESTIMATES FOR COMPACT HYPERSURFACES IN HYPERBOLIC SPACE

Title & Authors
SOME ESTIMATES FOR COMPACT HYPERSURFACES IN HYPERBOLIC SPACE

Abstract
Let M be a compact hypersurface in hyperbolic space and let A be the area of M and V be the volume of the compact domain bounded by M. In this paper, we find a lower bound for $\small{\frac{A}{V}}$ in two cases, M has constant scalar curvature and M has constant mean curvature.
Keywords
scalar curvature;mean curvature;hyperbolic space;Riemannian manifold;
Language
English
Cited by
References
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