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arXiv · 1002.0133

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

Vladimir S. Matveev
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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.

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Vladimir S. Matveev. 2010-01-31. Proof of projective Obata conjecture for two-dimensional pseudo-Riemannian metrics. https://arxiv.org/abs/1002.0133

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