Proof of the projective Lichnerowicz-Obata conjecture
نویسندگان
چکیده
منابع مشابه
Projective Lichnerowicz-Obata Conjecture
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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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2007
ISSN: 0022-040X
DOI: 10.4310/jdg/1175266281