Monotone quantities involving a weighted σ_k integral along inverse curvature flows
classification
🧮 math.DG
keywords
curvaturealongflowsinversemonotonequantitiesclosedderive
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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.
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