Finsler metrics with special Riemannian curvature properties |
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| Affiliation: | Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China |
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| Abstract: | The Weyl curvature is one of the fundamental quantities in Finsler geometry because it is a projective invariant. By determining the Weyl curvature of a class of Finsler metrics, we find a lot of Finsler metrics of quadratic Weyl curvature which are non-trivial in the sense that they are not of quadratic Riemann curvature. |
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| Keywords: | Finsler metric Weyl curvature Riemann curvature |
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