On a class of Douglas metrics-Reference-Cited by-同舟云学术

On a class of Douglas metrics

Published:2009-09-01 Issue:3 Volume:46 Page:355-365
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Li Benling¹,Shen Yibing²,Shen Zhongmin

Affiliation:

1. 1 Ningbo University Department of Mathematics Ningbo, Zhejiang Province 315211 P.R. China

2. 2 Zhejiang University Department of Mathematics Hangzhou, Zhejiang Province 310027 P.R. China

Abstract

In this paper, we study a class of Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We find an equation that characterizes Douglas metrics on a manifold of dimension n ≧ 3.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.2009.1096

Reference13 articles.

1. On Finsler spaces of Douglas type. A generalization of the notion of Berwald space;Bácsó S.;Publ. Math. Debrecen,1997

2. The general geometry of paths;Douglas J.;Ann. of Math.,1927

3. On Finsler spaces with (α, β)-metric. Regularity, geodesics and main scalars;Kitayama M.;J. Hokkaido Univ. Ed.,1995

4. Projectively flat Matsumoto metric and its approximation;Li B.;Acta. Math. Scientia,2007

5. Finsler spaces with (α, β)-metric of Douglas type;Matsumoto M.;Tensor, N.S.,1998

Cited by 43 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Conformal vector fields of a class of Finsler spaces;Periodica Mathematica Hungarica;2024-07-07

2. INVARIANT ( α,β )- METRIC OF DOUGLAS AND BERWALD TYPE;HONAM MATH J;2024

3. Some Aspects on a Special Type of $(\alpha,\beta )$-metric;International Electronic Journal of Geometry;2023-04-30

4. Rigidity of Finsler gradient steady Ricci soliton;Calculus of Variations and Partial Differential Equations;2023-03-17

5. On projectively flat Finsler space with a cubic (α, β) metric;Filomat;2023