Proof of projective Obata conjecture for two-dimensional pseudo-Riemannian metrics

Details Proof of projective Obata conjecture for two-dimensional pseudo-Riemannian metrics Proof of projective Obata conjecture for two-dimensional pseudo-Riemannian metrics

2010-01-31

arxiv.org/abs/1002.0133v2

Mathematics

Differential Geometry

This paper has been withdrawn by the author. this paper, together with the paper arXiv:0911.3521, is now a part of the paper a

Scientific paper

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.

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