Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024738 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 14 Pages |
Abstract
In this paper, we study homogeneous Einstein (α,β)-metrics on compact Lie groups and spheres. We first show that any left invariant Einstein (α,β)-metric on a connected compact simple Lie groups except SU(2) with vanishing S-curvature must be a Randers metric. Secondly, we prove that any Sp(n+1)-invariant Einstein (α,β)-metric on S4n+3(nâN+) with vanishing S-curvature is either a Randers metric, or SU(2n+2)-invariant. Finally, we give a complete description of SU(n+1)-invariant Einstein Finsler metrics on S2n+1(nâ¥2).
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Authors
Zaili Yan, Shaoqiang Deng,