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arXiv:1402.0843 [math.DG]AbstractReferencesReviewsResources

Monotone quantities involving a weighted $σ_k$ integral along inverse curvature flows

Kwok-Kun Kwong, Pengzi Miao

Published 2014-02-04Version 1

We give a family of monotone quantities along smooth solutions to the inverse curvature flows in Euclidean spaces. We also derive a related geometric inequality for closed hypersurfaces with positive k-th mean curvature.

Comments: 11 pages
Categories: math.DG
Subjects: 53C44, 53A07
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