S-curvature of isotropic Berwald metrics

被引：0

作者：

Akbar TAYEBI ^{[1
]}

Mehdi RAFIE-RAD ^{[2
]}

机构：

[1] Faculty of Science, Department of Mathematics, University of Qom

[2] Faculty of Mathematics and Computer Sciences, Amirkabir University of Tecnology (Tehran Polytechnic)

来源：

Science China Mathematics | 2008年 / 12期

关键词：

S-curvature; isotropic Berwald metric; isotropic S-curvature; navigation representa- tion;

D O I：

暂无

中图分类号：

O186.1 [微分几何];

学科分类号：

0701 ; 070101 ;

摘要：

Isotropic Berwald metrics are as a generalization of Berwald metrics. Shen proved that every Berwald metric is of vanishing S-curvature. In this paper, we generalize this fact and prove that every isotropic Berwald metric is of isotropic S-curvature. Let F = α + β be a Randers metric of isotropic Berwald curvature. Then it corresponds to a conformal vector field through navigation representation.

引用

页码：2198 / 2204

页数：7

共 50 条

[1] S-curvature of isotropic Berwald metrics
Tayebi, Akbar
Rafie-Rad, Mehdi
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (12): : 2198 - 2204
[2] S-curvature of isotropic Berwald metrics
Akbar Tayebi
Mehdi Rafie-Rad
[J]. Science in China Series A: Mathematics, 2008, 51 : 2198 - 2204
[3] On Randers Metrics with Isotropic S-Curvature
Zhong Min SHEN Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2008, 24 (05) : 789 - 796
[4] On Randers metrics with isotropic S-curvature
Zhong Min Shen
Hao Xing
[J]. Acta Mathematica Sinica, English Series, 2008, 24 : 789 - 796
[5] On randers metrics with isotropic S-curvature
Shen, Zhong Min
Xing, Hao
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (05) : 789 - 796
[6] On general (α, β)-metrics with isotropic S-curvature
Zhu, Hongmei
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 464 (02) : 1127 - 1142
[7] On (α,β)-metrics with isotropic Berwald curvature
Chen, Guangzu
Liu, Lihong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (01) : 347 - 356
[8] A class of Finsler metrics with isotropic S-curvature
Xinyue Cheng
Zhongmin Shen
[J]. Israel Journal of Mathematics, 2009, 169 : 317 - 340
[9] On Randers metrics of isotropic S-curvature II
Yang, Guojun
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2011, 78 (01): : 71 - 87
[10] A CLASS OF FINSLER METRICS WITH ISOTROPIC S-CURVATURE
Cheng, Xinyue
Shen, Zhongmin
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2009, 169 (01) : 317 - 340

← 1 2 3 4 5 →