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Some Estimates for Compact Hypersurfaces in Hyperbolic Space

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Abstract

Let M be a compact hypersurface in hyperbolic space and let Abe the area of M and V be the volume of the compact domainbounded by M. In this paper, we find a lower bound forfrac{A}{V} in two cases, M has constant scalar curvature andM has constant mean curvature.

참고문헌 (2)

  1. "Stable Complete Surfaces with Constant MeanCurvature", 27(2), pp.129~44 (1996)
  2. "Applications of the Hessian operator in aRiemannian manifold", 26, pp.459~ (1977)

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