期刊
ADVANCES IN MATHEMATICS
卷 221, 期 5, 页码 1725-1732出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2009.03.005
关键词
Isoperimetric inequalities; Quermassintegrals; Curvature flow; Monotonicity
类别
资金
- NSERC
- CRM
We give a proof of the isoperimetric inequality for quermassintegrals of non-convex starshaped domains, using a result of Gerhardt [C. Gerhardt, Flow of nonconvex hypersurfaces into spheres, J. Differential Geometry 32 (1990) 299-314] and Urbas [J. Urbas, On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures, Math. Z. 205 (1990) 355-372] on an expanding geometric curvature flow. (C) 2009 Elsevier Inc. All rights reserved.
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