Inequalities for quermassintegrals on k-convex domains

Sun Yung Alice Chang; Yi Wang

doi:10.1016/j.aim.2013.08.006

Inequalities for quermassintegrals on k-convex domains

Sun Yung Alice Chang, Yi Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

In this paper, we study the Aleksandrov-Fenchel inequalities for quermassintegrals on a class of non-convex domains. Our proof uses optimal transport maps as a tool to relate curvature quantities of different orders defined on the boundary of the domain.

Original language	English (US)
Pages (from-to)	335-377
Number of pages	43
Journal	Advances in Mathematics
Volume	248
DOIs	https://doi.org/10.1016/j.aim.2013.08.006
State	Published - Nov 25 2013

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Aleksandrov-Fenchel quermassintegral inequalities
K-Convexity
Optimal transport maps

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10.1016/j.aim.2013.08.006

Cite this

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title = "Inequalities for quermassintegrals on k-convex domains",

abstract = "In this paper, we study the Aleksandrov-Fenchel inequalities for quermassintegrals on a class of non-convex domains. Our proof uses optimal transport maps as a tool to relate curvature quantities of different orders defined on the boundary of the domain.",

keywords = "Aleksandrov-Fenchel quermassintegral inequalities, K-Convexity, Optimal transport maps",

author = "Chang, {Sun Yung Alice} and Yi Wang",

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AU - Wang, Yi

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AB - In this paper, we study the Aleksandrov-Fenchel inequalities for quermassintegrals on a class of non-convex domains. Our proof uses optimal transport maps as a tool to relate curvature quantities of different orders defined on the boundary of the domain.

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KW - Optimal transport maps

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EP - 377

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Inequalities for quermassintegrals on k-convex domains

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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