Proof of projective Obata conjecture for two-dimensional pseudo-Riemannian metrics
classification
🧮 math.DG
math-phmath.MP
keywords
projectiveconjectureobatapseudo-riemanniantwo-dimensionalcloseddifferentevery
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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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