Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields
Differential Geometry
2018-12-04 v2
Abstract
In this paper, it is proved that a connected 3-dimensional Riemannian manifold or a closed connected semi-Riemannian manifold () admitting a projective vector field with a non-linearizable singularity is projectively flat.
Keywords
Cite
@article{arxiv.1705.00460,
title = {Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields},
author = {Tianyu Ma},
journal= {arXiv preprint arXiv:1705.00460},
year = {2018}
}