Enli Guo, Xiaohuan Mo, Xianqiang Zhang, “The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature”, SIGMA, 2009, Volume 5,045, 7 pp.

This article is cited in 4 papers

The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature

Enli Guo^a, Xiaohuan Mo^b, Xianqiang Zhang^c

^a College of Applied Science, Beijing University of Technology, Beijing 100022, China
^b Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China
^c Tianfu College, Southwestern University of Finance and Economics, Mianyang 621000, China

Abstract: By using the Hawking Taub-NUT metric, this note gives an explicit construction of a 3-parameter family of Einstein Finsler metrics of non-constant flag curvature in terms of navigation representation.

Keywords: Finsler manifold; Einstein Randers metric; Ricci curvature.

MSC: 58E20

Received: December 8, 2008; in final form April 9, 2009; Published online April 14, 2009

Language: English

DOI: 10.3842/SIGMA.2009.045