English

Finsleroid-regular space developed. Berwald case

Differential Geometry 2015-05-13 v1 Mathematical Physics math.MP

Abstract

The Finsleroid--Finsler space becomes regular when the norm b=c||b||=c of the input 1-form bb is taken to be an arbitrary positive scalar c(x)<1c(x) < 1. By performing required direct evaluations, the respective spray coefficients have been obtained in a simple and transparent form. The adequate continuation into the regular pseudo-Finsleroid domain has been indicated. The Finsleroid-regular Berwald space is found under the assumptions that the Finsleroid charge is a constant and the 1-form bb is parallel. Keywords: Finsler metrics, spray coefficients, curvature tensors.

Keywords

Cite

@article{arxiv.0711.4180,
  title  = {Finsleroid-regular space developed. Berwald case},
  author = {G. S. Asanov},
  journal= {arXiv preprint arXiv:0711.4180},
  year   = {2015}
}
R2 v1 2026-06-21T09:47:35.647Z