Conformal vector fields on compact connected homogeneous Finsler manifolds

Ming Xu

Conformal vector fields on compact connected homogeneous Finsler manifolds

Differential Geometry 2024-02-06 v1

Authors: Ming Xu

Abstract

Let $(M,F)$ be a compact connected homogeneous non-Riemannian Finsler manifold with $\dim M>1$ . We prove that any conformal vector field on $(M,F)$ is a Killing vector field. Further more, we prove that $\rho F$ is a homogeneous Finsler metric on $M$ if and only if $\rho$ is a positive constant function.

Keywords

killing spinors finsler geometry vector fields

Cite

@article{arxiv.2402.02406,
  title  = {Conformal vector fields on compact connected homogeneous Finsler manifolds},
  author = {Ming Xu},
  journal= {arXiv preprint arXiv:2402.02406},
  year   = {2024}
}

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