Proof of projective Obata conjecture for two-dimensional pseudo-Riemannian metrics
Differential Geometry
2010-10-25 v2 Mathematical Physics
math.MP
Abstract
I prove the two-dimensional pseudo-Riemannian version of the projective Obata conjecture stating that on a closed manifold different from the round sphere every projective (i.e., geodesic-preserving) vector field is Killing.
Keywords
Cite
@article{arxiv.1002.0133,
title = {Proof of projective Obata conjecture for two-dimensional pseudo-Riemannian metrics},
author = {Vladimir S. Matveev},
journal= {arXiv preprint arXiv:1002.0133},
year = {2010}
}
Comments
This paper has been withdrawn by the author. this paper, together with the paper arXiv:0911.3521, is now a part of the paper arXiv:1002.3934