具有弱迷向S曲率的卷积芬斯勒度量

徐晓慧; 张晓玲

doi:10.13568/j.cnki.651094.651316.2020.10.20.0005

您当前的位置：

首页 >

文章列表页 >

具有弱迷向S曲率的卷积芬斯勒度量

更新时间：2026-01-21

- 具有弱迷向S曲率的卷积芬斯勒度量
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 38, Issue 6, Pages: 681-684(2021)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2020.10.20.0005
  CLC： O186.1
- Published：2021
- 稿件说明：
移动端阅览
[1]徐晓慧,张晓玲.具有弱迷向S曲率的卷积芬斯勒度量[J].新疆大学学报(自然科学版)(中英文),2021,38(06):681-684+698.
[1]徐晓慧,张晓玲.具有弱迷向S曲率的卷积芬斯勒度量[J].新疆大学学报(自然科学版)(中英文),2021,38(06):681-684+698. DOI： 10.13568/j.cnki.651094.651316.2020.10.20.0005.

DOI：10.13568/j.cnki.651094.651316.2020.10.20.0005.

摘要

本文利用张量分析的方法和偏微分方程的理论研究了具有弱迷向S曲率的卷积芬斯勒度量

得到其刻画方程.在此基础上得到了一系列具有消失S曲率的Douglas型卷积芬斯勒度量.

Abstract

In this paper

by using tensor analysis and theories of PDEs

we study the Finsler warped product metric with weakly isotropic S curvature

and obtain the characterized equations. Furthermore

we construct a series of the Finsler warped product metrics of Douglas type with vanishing S curvature.

关键词

Keywords

references

BISHOP R L, O’NEILL B. Manifolds of negative curvature[J]. Transactions of the American Mathematical, 1969, 145:1-49.

CHEN B, SHEN Z M, ZHAO L L. Constructions of Einstein Finsler metrics by warped product[J]. International Journal of Mathematics, 2018, 29(11):1850081.https://doi.org/10.1142/S0129167X18500817.

KOZMA L, PETER R, VARGA C. Warped product of Finsler manifolds[J]. Annales Universitatis Scientiarum Budapestinensis,2001, 44:157-170.

ASANOV G S. Finslerian metric functions over the product R×M and their potential applications[J]. Reports on Mathematical Physics, 1998, 41:117-132.

ALIPOUR-FAKHRI Y, REZAII M M. The warped Sasaki-Matsumoto metric and bundlelike condition[J]. Journal of Mathematical Physics, 2010, 51(12):122701. http://dx.doi.org/10.1063/1.3520636.

LIU H F, MO X H. Finsler warped product metrics of Douglas type[J]. Canadian Mathematical Bulletin, 2019, 62(1):119-130.

LIU H F, MO X H, ZHANG H Z. Finsler warped product metrics with special Riemannian curvature properties[J]. Science China Mathematics, 2020, 63(7):1391-1408.

SHEN Z M. Volume compsrison and its applications in Riemann-Finsler geometry[J]. Advances in Mathematics, 1997, 128(2):306-328.

SHEN Z M, XING H. On Randers metrics with isotropic S-curvature[J]. Acta Mathematica Sinica(English Series), 2008, 24(5):789-796.

杨国俊.具迷向S-曲率的Randers度量[J].数学学报(中文版), 2009, 52(6):1147-1156.YANG G J. On Randers metrics of isotropic S-curvature[J]. Acta Mathematica Sinica(Chinese series), 2009, 52(6):1147-1156.(in Chinese)

ZHOU L F. The spherically symmetric Finsler metrics with isotropic S-curvature[J]. Journal of Mathematical Analysis Applications, 2015, 431(2):1008-1021.

CHEN X Y, MO X H, SHEN Z M. On the flag curvature of Finsler metrics of scalar curvature[J]. London Mathematical Society,2003, 68(2):762-780.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

一类具有消失χ曲率的(α,β)-度量

Related Author

麻翠玲

张晓玲

何勇

Related Institution

新疆师范大学数学科学学院

⁰