Frontiers of Mathematics in China >
Properties of Berwald scalar curvature
Received date: 18 Jun 2020
Accepted date: 08 Oct 2020
Published date: 15 Dec 2020
Copyright
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.
Ming LI , Lihong ZHANG . Properties of Berwald scalar curvature[J]. Frontiers of Mathematics in China, 2020 , 15(6) : 1143 -1153 . DOI: 10.1007/s11464-020-0872-7
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