Monotone quantities involving a weighted σ_k integral along inverse curvature flows

2014/02/04 by Kwong, Kwok-Kun, Miao, Pengzi · 2 citations
#53A07 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1402.0843

Abstract

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.

Cited by

• On the new weighted geometric inequalities near the sphere in space forms
• New weighted Alexandrov-Fenchel type inequalities and Minkowski inequalities in space forms

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