Homogeneous Einstein-Randers metrics on spheres |
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| Authors: | Hui WangLibing Huang Shaoqiang Deng |
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| Affiliation: | a College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, People’s Republic of Chinab School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, People’s Republic of China |
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| Abstract: | In this paper, we study the homogeneous Einstein-Randers metrics on spheres. It turns out that we can find out all the homogeneous non-Riemannian Einstein-Randers metrics on spheres. Furthermore, we obtain a complete classification of such metrics under isometries. Using this, we present a large number of homogeneous Einstein-Randers metrics of non-constant flag curvature. |
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| Keywords: | 17B20 22E46 53C12 |
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