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.
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页码：679 / 694
页数：16
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