We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Some curvature properties of spherically symmetric Finsler metrics.
- Authors
Tayebi, Akbar; Eslami, Faezeh
- Abstract
In this paper, we study some important Remannian and non-Riemannian curvature properties of spherically symmetric Finsler metrics. Under a condition on the geodesic coefficient, we find the necessary and sufficient conditions under which spherically symmetric metrics are of scalar flag curvature, W -quadratic or projectively Ricci-flat. For spherically symmetric metrics of relatively isotropic Landsberg curvature, we find the necessary and sufficient conditions under which these metrics are of constant flag curvature or Ricci-quadratic. Finally, we prove a rigidity result that every spherically symmetric metric of relatively isotropic Landsberg curvature is Ricci-quadratic if and only if it is a Berwald metric. Moreover, if the Finsler metric is negatively complete then it reduces to a Riemannian metric.
- Subjects
CURVATURE; RIEMANNIAN metric; GEODESICS
- Publication
International Journal of Mathematics, 2024, Vol 35, Issue 3, p1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X24500095