Ricci Curvature Tensor and Non-Riemannian Quantities
Printed: Sep 2015
There are several notions of Ricci curvature tensor
in Finsler geometry and spray geometry. One of them is defined by the
Hessian of the well-known Ricci curvature.
In this paper we will introduce a new notion of Ricci curvature
tensor and discuss its relationship with the Ricci curvature and some
non-Riemannian quantities. By this Ricci curvature tensor, we shall
have a better understanding on these non-Riemannian quantities.
Finsler metrics, sprays, Ricci curvature, non-Riemanian quantity
53B40 - Finsler spaces and generalizations (areal metrics)
53C60 - Finsler spaces and generalizations (areal metrics) [See also 58B20]