Local estimate on convexity radius and decay of injectivity radius in a Riemannian manifold

DOI10.1142/S0219199717500602zbMath1407.53036arXiv1704.03269OpenAlexW3103537458WikidataQ115245750 ScholiaQ115245750MaRDI QIDQ4686473

Shicheng Xu

Publication date: 10 October 2018

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03269

zbMATH Keywords

focal radiusconvexity radiusdecay of injectivity radius

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Generalized submonotonicity and approximately convexity in Riemannian manifolds ⋮ Approximation of metric spaces by Reeb graphs: Cycle rank of a Reeb graph, the co-rank of the fundamental group, and large components of level sets on Riemannian manifolds ⋮ A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds ⋮ Harnack inequality for nonlocal operators on manifolds with nonnegative curvature

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