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math.DG2024
On the Berwald-Weyl Curvature
Zhongmin Shen, Liling Sun
In this paper, we study the Berwald-Weyl curvature which is defined for a spray/Finsler metric with a volume form. We obtain some expressions for the Berwald-Weyl curvature. This q…
math.DG2020
On the projective Ricci curvature
Zhongmin Shen, Liling Sun
The notion of the Ricci curvature is defined for sprays on a manifold. With a volume form on a manifold, every spray can be deformed to a projective spray. The Ricci curvature of a…