Constructions of Einstein Finsler metrics by warped product-Reference-Cited by-同舟云学术

Constructions of Einstein Finsler metrics by warped product

Published:2018-10 Issue:11 Volume:29 Page:1850081
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Chen Bin¹,Shen Zhongmin²,Zhao Lili³^ORCID

Affiliation:

1. School of Mathematical Sciences, Tongji University, Shanghai 200092, P. R. China

2. Department of Mathematical Sciences, IUPUI, Indianapolis 46202-3216, USA

3. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, P. R. China

Abstract

The warped product structures of Finsler metrics are studied in this paper. We give the formulae of the flag curvature and Ricci curvature of these metrics, and obtain the characterization of such metrics to be Einstein. Some Einstein Finsler metrics of this type are constructed.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X18500817

Reference14 articles.

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2. Inhomogeneous Einstein metrics on low-dimensional spheres and other low-dimensional spaces

3. Einstein metrics on spheres

4. Finsler structures on the 2-sphere satisfying 𝐾=1

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