English

On the convex invariance in Finsler geometry

Differential Geometry 2021-02-02 v6

Abstract

As a natural application of the {\it theory of geometric averaging} in Finsler geometry and generalized Finsler geometry, a new approach to investigate {\it generalized Finsler geometry}, based on a convex invariance of the average structures, is introduced.

Keywords

Cite

@article{arxiv.0905.3181,
  title  = {On the convex invariance in Finsler geometry},
  author = {Ricardo Gallego Torromé},
  journal= {arXiv preprint arXiv:0905.3181},
  year   = {2021}
}

Comments

The general treatment for averaging of geometric objects has been deleted. We concentrate on Finsler type averages, 6 pages