Properties of Berwald scalar curvature |
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| Authors: | Ming LI Lihong ZHANG |
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| Institution: | 1. Mathematical Science Research Center, Chongqing University of Technology, Chongqing 400054, China2. School of Sciences, Chongqing University of Technology, Chongqing 400054, China |
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| Abstract: | We prove that a Finsler manifold with vanishing Berwald scalar curvature has zero E-curvature. As a consequence, Landsberg manifolds with vanishing Berwald scalar curvature are Berwald manifolds. For (α,β)-metrics on manifold of dimension greater than 2, if the mean Landsberg curvature and the Berwald scalar curvature both vanish, then the Berwald curvature also vanishes. |
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| Keywords: | Landsberg curvature Berwald curvature E-curvature S-curvature Berwald scalar curvature |
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