论具有可逆道格拉斯曲率的芬斯勒度量

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-04-17 DOI:10.1016/j.difgeo.2024.102137

Guangzu Chen , Jiayu Liao, Lihong Liu

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引用次数: 0

摘要

在本文中，我们发现了一种新的张量，它是具有可逆测地线的 Finsler 度量的元凶。利用这个张量，我们可以证明，当且仅当 Finsler 度量具有可逆大地线和道格拉斯曲率时，它们才是道格拉斯度量。此外，我们还将重点讨论具有可逆道格拉斯曲率的芬斯勒度量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Finsler metrics with reversible Douglas curvature

In this paper, we find a new tensor which is responsible for Finsler metrics with reversible geodesics. Using this tensor, we can prove that Finsler metrics are Douglas metrics if and only if they have reversible geodesics and Douglas curvature. Further, we focus on Finsler metrics with reversible Douglas curvature.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.