On Singular Square Metrics with Vanishing Douglas Curvature

被引：3

作者：

Yu, Changtao ^{[1
]}

Zhu, Hongmei ^{[2
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Finsler geometry; general; (alpha; beta)-metric; Douglas curvature; beta-deformation; conformal; 1-form;

D O I：

10.1007/s00025-017-0709-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Square metrics F = (alpha+beta)(2)/alpha a are a special class of Finsler metrics. It is the rate kind of metric category to be of excellent geometrical properties. In this paper, we discuss the so-called singular square metrics F = (b alpha+beta)(2)/alpha a. A characterization for such metrics to be of vanishing Douglas curvature is provided. Moreover, many analytical examples are achieved by using a special kinds of metrical deformations called beta-deformations.

引用

页码：679 / 694

页数：16

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