On some dually flat Finsler metrics with orthogonal invariance

被引：6

作者：

Huang, Libing ^{[1
]}

Mo, Xiaohuan ^{[2
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 108卷

基金：

中国国家自然科学基金;

关键词：

Finsler metric; Dually flat; Orthogonal invariance; Projectively flat; CURVATURE;

D O I：

10.1016/j.na.2014.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inspired by the integral representation of two-dimensional reversible projective Finsler metrics due to A. V. Pogorelov, we explicitly construct two new families of dually flat (not necessarily reversible) Finsler metrics with orthogonal invariance of arbitrary dimension. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：214 / 222

页数：9

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