On sprays with vanishing X-curvature
| Autor: | Shen, Zhongmin |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | Every Riemannian metric or Finsler metric on a manifold induces a spray via its geodesics. In this paper, we discuss several expressions for the X-curvature of a spray. We show that the sprays obtained by a projective deformation using the S-curvature always have vanishing X-curvature. Then we establish the Beltrami Theorem for sprays with X=0 |
| Databáze: | arXiv |
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