Geometrical and analytical properties of Chebyshev sets in Riemannian manifolds

DOI10.1090/proc/12793zbMath1341.53039OpenAlexW2013625723WikidataQ115290861 ScholiaQ115290861MaRDI QIDQ2790276

Ronaldo F. de Lima

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12793

zbMATH Keywords

geodesic ballconvex setdistance functionChebyshev setsubharmonicMotzkin's theoremToponogov's comparison theorem

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Differentiable maps on manifolds (58C25) Methods of local Riemannian geometry (53B21)

Cites Work

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• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• An elementary proof of the Cheeger-Gromoll splitting theorem
• Convexity and the unique footpoint property in Riemannian geometry
• Nächste Punkte in der Riemannschen Geometrie
• An elementary method in the study of nonnegative curvature
• On a problem concerning the intrinsic characterization of \(\mathbb{C}\)
• Distance function and cut loci on a complete Riemannian manifold
• Proof of the soul conjecture of Cheeger and Gromoll
• A duality theorem for Riemannian foliations in nonnegative sectional curvature
• On complete open manifolds of positive curvature
• On the structure of complete manifolds of nonnegative curvature
• Curvature Measures
• The Convexity of a Domain and the Superharmonicity of the Signed Distance Function
• The metric projection onto the soul
• On the metric structure of open manifolds with nonnegative curvature

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