English

Affinely rigid Finsler manifolds

Differential Geometry 2017-02-20 v1

Abstract

A Finsler function FF is affinely rigid if its canonical spray is uniquely metrizable, in the sense that if Fˉ\bar F is another Finsler function whose canonical spray is SS, then d(F/Fˉ)=0d(F/\bar F)=0. In this short note we explore some sufficient conditions for a Finsler function to be affinely rigid, and discuss open problems.

Keywords

Cite

@article{arxiv.1702.05151,
  title  = {Affinely rigid Finsler manifolds},
  author = {David Csaba Kertesz},
  journal= {arXiv preprint arXiv:1702.05151},
  year   = {2017}
}