Journal
JOURNAL OF TOPOLOGY AND ANALYSIS
Volume 7, Issue 4, Pages 719-735Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793525315500223
Keywords
Alexandrov geometry; globalization; geodesic; comparison; perturbation; convex; probability
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Funding
- Penn State University
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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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