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On a class of Ricci-flat Finsler metrics in Finsler geometry |
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| Affiliation: | 1. Department of Mathematics, Tongji University, Shanghai, 200092, PR China;2. Department of Mathematical Sciences, Indiana University-Purdue University, Indianapolis, IN 46202-3216, USA;3. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, PR China |
| Abstract: | In this paper, we study a class of Finsler metrics defined by a Riemannian metric and a one-form on a manifold. We completely determine the local structure of Ricci-flat metrics in this class which are also of Douglas type. |
| Keywords: | Square metrics Einstein–Douglas Warped product |
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