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Article overview
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Hyperbolic Alexandrov-Fenchel quermassintegral inequalities I | Yuxin Ge
; Guofang Wang
; Jie Wu
; | Date: |
7 Mar 2013 | Abstract: | In this paper we prove the following geometric inequality in the hyperbolic
space $H^n$ ($nge 5)$, which is a hyperbolic Alexandrov-Fenchel inequality,
[egin{array}{rcl} ds int_Sigma s_4 d muge dsvs
C_{n-1}^4omega_{n-1}left{left(frac{|Sigma|}{omega_{n-1}}
ight)^frac
12 + left(frac{|Sigma|}{omega_{n-1}}
ight)^{frac 12frac {n-5}{n-1}}
ight}^2, end{array}] provided that $Sigma$ is a horospherical convex
hypersurface. Equality holds if and only if $Sigma$ is a geodesic sphere in
$H^n$. | Source: | arXiv, 1303.1714 | Services: | Forum | Review | PDF | Favorites |
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