Homogeneous Randers spaces with isotropic S-curvature and positive flag curvature |
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| Authors: | Zhiguang Hu Shaoqiang Deng |
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| Institution: | 1. College of Mathematics, Tianjin Normal University, Tianjin, 300387, People’s Republic of China
2. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People’s Republic of China
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| Abstract: | In this paper, we will give a complete classification of homogeneous Randers spaces with isotropic S-curvature and positive flag curvature. This results in a large class of Finsler spaces with non-constant positive flag curvature. At the final part of the paper, we prove a rigidity result asserting that a homogeneous Randers space with almost isotropic S-curvature and negative Ricci scalar must be Riemannian. |
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