Jacobi fields and conjugate points for a projective class of sprays
Differential Geometry
2021-07-30 v1 Mathematical Physics
math.MP
Abstract
We investigate Jacobi fields and conjugate points in the context of sprays. We first prove that the conjugate points of a spray remain preserved under a projective change. Then, we establish conditions on the projective factor so that the projectively deformed spray meets the conditions of a proposition that ensures the existence of conjugate points. We discuss our methods by means of illustrative examples, throughout the paper.
Keywords
Cite
@article{arxiv.2009.00913,
title = {Jacobi fields and conjugate points for a projective class of sprays},
author = {S. Hajdú and T. Mestdag},
journal= {arXiv preprint arXiv:2009.00913},
year = {2021}
}
Comments
18 pages, 3 figures