Affine Killing complete and geodesically complete homogeneous affine surfaces
Differential Geometry
2018-11-14 v1 Analysis of PDEs
Abstract
An affine manifold is said to be geodesically complete if all affine geodesics extend for all time. It is said to be affine Killing complete if the integral curves for any affine Killing vector field extend for all time. We use the solution space of the quasi-Einstein equation to examine these concepts in the setting of homogeneous affine surfaces.
Cite
@article{arxiv.1811.05197,
title = {Affine Killing complete and geodesically complete homogeneous affine surfaces},
author = {P. B. Gilkey and J. H. Park and X. Valle-Regueiro},
journal= {arXiv preprint arXiv:1811.05197},
year = {2018}
}