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Differential Geometry Seminar Abstract

Vladimir Matveev (Freiburg), 28 February, 2005

Proof of projective Lichnerowicz-Obata conjecture

I will explain the proof of the following statement: suppose the action of a connected Lie group on a closed Riemannian manifold preserves geodesics. Then, the group acts by isometries, or the metric has constant positive sectional curvature.