1. General spherically symmetric Finsler metrics with constant Ricci and flag curvature
- Author
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Bahman Rezaei, Mehran Gabrani, and Esra Sengelen Sevim
- Subjects
Class (set theory) ,Pure mathematics ,010102 general mathematics ,Curvature ,Special class ,01 natural sciences ,Euclidean distance ,Computational Theory and Mathematics ,0103 physical sciences ,Mathematics::Metric Geometry ,Mathematics::Differential Geometry ,010307 mathematical physics ,Geometry and Topology ,Tensor ,0101 mathematics ,Constant (mathematics) ,Analysis ,Ricci curvature ,Mathematics ,Flag (geometry) - Abstract
In this paper, we investigate the flag curvature of a special class of Finsler metrics called general spherically symmetric Finsler metrics, which are defined by a Euclidean metric and two related 1-forms. We find equations to characterize the class of metrics with constant Ricci curvature (tensor) and constant flag curvature. Moreover, we study general spherically symmetric Finsler metrics with the vanishing non-Riemannian quantity χ-curvature. In particular, we construct some new projectively flat Finsler metrics of constant flag curvature.
- Published
- 2021