Geodesic interpolation inequalities on Heisenberg groups

被引：2

作者：

Balogh, Zoltan M. ^{[1
]}

Kristaly, Alexandru ^{[2
,3
]}

Sipos, Kinga ^{[1
]}

机构：

[1] Univ Bern, Math Inst, Sidlerstr 5, CH-3012 Bern, Switzerland

[2] Obuda Univ, Inst Appl Math, Budapest, Hungary

[3] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

来源：

COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 09期

基金：

瑞士国家科学基金会;

关键词：

METRIC-MEASURE-SPACES; GEOMETRY;

D O I：

10.1016/j.crma.2016.07.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note, we present geodesic versions of the Borell-Brascamp-Lieb, Brunn-Minkowski and entropy inequalities on the Heisenberg group H-n. Our arguments use the Riemannian approximation of Hncombined with optimal mass-transportation techniques. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：916 / 919

页数：4

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