DUAL CURVATURE MEASURES FOR LOG-CONCAVE FUNCTIONS

被引：1

作者：

Huang, Yong ^{[1
]}

Liu, Jiaqian ^{[1
,2
]}

Xi, Dongmeng ^{[3
]}

Zhao, Yiming ^{[4
]}

机构：

[1] Hunan Univ, Inst Math, 2 Lushan S Rd, Changsha 410082, Peoples R China

[2] Henan Univ, Sch Math & Stat, Kaifeng 475001, Peoples R China

[3] Shanghai Univ, Dept Math, 266 Jufengyuan Rd, Shanghai 200444, Peoples R China

[4] Syracuse Univ, Dept Math, 130 Sims Dr,215 Carnegie, Syracuse, NY 13244 USA

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2024年 / 128卷 / 02期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

BUSEMANN-PETTY PROBLEM; MINKOWSKI-FIREY THEORY; SUBSPACE CONCENTRATION; AFFINE; INEQUALITIES; INTERIOR; SOBOLEV;

D O I：

10.4310/jdg/1727712894

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce dual curvature measures for log-concave functions, which in the case of characteristic functions recover the dual curvature measures for convex bodies introduced by Huang-Lutwak-Yang-Zhang in 2016. Variational formulas are shown. The associated Minkowski problem for these dual curvature measures is considered and sufficient conditions in the symmetric setting are demonstrated.

引用

页码：815 / 860

页数：46

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