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Globalization with probabilistic convexity

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arxiv 1310.6815 v2 pith:QKYOBHIV submitted 2013-10-25 math.DG math.MG

Nan Li This is my paper
classification math.DGmath.MG
keywords alexandrovconvexityglobalizationprobabilisticbasicclassicaldevelopedgeneralize
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We introduce a notion of probabilistic convexity and generalize some classical globalization theorems in Alexandrov geometry. A weighted Alexandrov's lemma is developed as a basic tool.

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