ON A CLASS OF RICCI-FLAT DOUGLAS METRICS-Reference-Cited by-同舟云学术

ON A CLASS OF RICCI-FLAT DOUGLAS METRICS

Published:2012-05-06 Issue:06 Volume:23 Page:1250046
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

SEVIM ESRA SENGELEN¹,SHEN ZHONGMIN²,ZHAO LILI³

Affiliation:

1. Department of Mathematics, Istanbul Bilgi University, Istanbul 34440, Turkey

2. Department of Mathematical Sciences, Indiana University Purdue University Indianapolis, Indianapolis, IN 46202-3216, USA

3. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P. R. China

Abstract

In this paper, we study a special class of Finsler metrics which are defined by a Riemannian metric and a 1-form on a manifold. We find equations that characterize Ricci-flat Douglas metrics among this class.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X12500462

Reference7 articles.

1. S. Bácsó, X. Cheng and Z. Shen, Curvature Properties of (α, β)-Metrics, Advanced Studies in Pure Mathematics 48 (Mathematical Society of Japan, 2007) pp. 73–110.

2. Ueber Finslersche und Cartansche Geometrie IV: Projektivkrummung allgemeiner affiner Raume und Finslersche Raume skalarer Krummung

3. A class of Finsler metrics with isotropic S-curvature

4. Riemann-Finsler Geometry

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