期刊
PACIFIC JOURNAL OF MATHEMATICS
卷 277, 期 1, 页码 219-239出版社
PACIFIC JOURNAL MATHEMATICS
DOI: 10.2140/pjm.2015.277.219
关键词
isoperimetric inequality; convex hypersurface; Alexandrov-Fenchel-type inequality; k-th order mean curvature; Gauss-Bonnet curvature
类别
资金
- NSFC [11271214]
By applying the unit normal flow to well-known inequalities in hyperbolic space Hn+1 and in the sphere Sn+1, we derive some new inequalities of Alexandrov-Fenchel type for closed convex hypersurfaces in these spaces. We also use the inverse mean curvature flow in the sphere to prove an optimal Sobolev-type inequality for closed convex hypersurfaces in the sphere.
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