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SIGMA 5 (2009), 045, 7 pages arXiv:0904.2170
https://doi.org/10.3842/SIGMA.2009.045
Contribution to the Special Issue “Élie Cartan and Differential Geometry”
The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature
Enli Guo a, Xiaohuan Mo b and 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
Received December 08, 2008, in final form April 09, 2009; Published online April 14, 2009
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.
Key words:
Finsler manifold; Einstein Randers metric; Ricci curvature.
pdf (180 kb)
ps (138 kb)
tex (9 kb)
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