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On General Spherically Symmetric Finsler Metrics

Differential Geometry 2024-06-18 v1

Abstract

In this paper, we study some non-Riemannian curvature properties of general spherically symmetric Finsler metrics. First, we prove that every general spherically symmetric Finsler metric is semi C-reducible. Then, we find the necessary and sufficient condition under which a general spherically symmetric Finsler metric has vanishing mean stretch curvature.

Keywords

Cite

@article{arxiv.2406.10578,
  title  = {On General Spherically Symmetric Finsler Metrics},
  author = {Tahereh. Khani-Moghaddam and Mehdi. Rafie-Rad and Akbar. Tayebi},
  journal= {arXiv preprint arXiv:2406.10578},
  year   = {2024}
}