The injectivity radius of Lie manifolds

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arxiv 1707.07595 v3 pith:E2LAWP4M submitted 2017-07-24 math.DG

Paolo Antonini , Guido De Philippis , Nicola Gigli This is my paper

classification math.DG

keywords injectivityradiuscompatibledirectgeometricmanifoldmanifoldsmetric

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We prove in a direct, geometric way that for any compatible Riemannian metric on a Lie manifold the injectivity radius is positive