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Tangent cut loci on surfaces

Abstract : Given a smooth compact Riemannian surface, we prove that if a suitable convexity assumption on the tangent focal cut loci is satisfied, then all injectivity domains are semiconvex.
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https://hal.archives-ouvertes.fr/hal-00923307
Contributor : Ludovic Rifford <>
Submitted on : Thursday, January 2, 2014 - 1:42:50 PM
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  • HAL Id : hal-00923307, version 1

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Alessio Figalli, Ludovic Rifford, Cédric Villani. Tangent cut loci on surfaces. Differential Geometry and its Applications, Elsevier, 2011, 29 (2), pp.154. ⟨hal-00923307⟩

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