Monotone quantities involving a weighted σk integral along inverse curvature flows

Kwok-Kun Kwong; Pengzi Miao

doi:10.1142/S0219199715500145

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Monotone quantities involving a weighted σk integral along inverse curvature flows

Journal article

Peer reviewed

Monotone quantities involving a weighted σk integral along inverse curvature flows

Kwok-Kun Kwong and Pengzi Miao

Communications in contemporary mathematics, Vol.17(5), p.1550014

2015-10

DOI: https://doi.org/10.1142/S0219199715500145

Abstract

inverse curvature flow

σk integral

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 kth mean curvature.

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Collaboration types: Domestic collaboration; International collaboration
Citation topics: 9 Mathematics; 9.50 Applied Statistics & Probability; 9.50.415 Harmonic Maps
Web Of Science research areas: Mathematics; Mathematics, Applied
ESI research areas: Mathematics

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Details

Title: Monotone quantities involving a weighted σk integral along inverse curvature flows
Creators: Kwok-Kun Kwong - Department of Mathematics, National Cheng Kung University, Tainan City 70101, Taiwan
Pengzi Miao - Department of Mathematics, University of Miami, Coral Gables, FL 33146, USA
Publication Details: Communications in contemporary mathematics, Vol.17(5), p.1550014
Publisher: World Scientific Publishing Company
Academic Unit: College of A&S; A&S - Mathematics
Language: English
Resource Type: Journal article
Record Identifier: 991031576889702976