arXiv math/04073372004-07-20math.DGmath-phmath.MP

Projective Lichnerowicz-Obata conjecture

Vladimir S. Matveev

备注：: 38 pages, 1 figure
发表信息：: J. of Differential Geometry, 75(2007), 459-502

英文摘要：

We solve two classical conjectures by showing that if an action of a connected Lie group on a complete Riemannian manifold preserves the geodesics (considered as unparameterized curves), then the metric has constant positive sectional curvature, or the group acts by affine transformations.

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