Lengths of geodesics between two points on a Riemannian manifold

DOI10.1090/S1079-6762-07-00169-2zbMath1113.53026arXivmath/0512552WikidataQ115281110 ScholiaQ115281110MaRDI QIDQ3432118

Regina Rotman, Alexander Nabutovsky

Publication date: 13 April 2007

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512552

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (2)

Length of geodesics and quantitative Morse theory on loop spaces ⋮ Short geodesic segments between two points on a closed Riemannian manifold

Cites Work

• The Morse landscape of a Riemannian disk
• The length of the second shortest geodesic
• The length of a shortest geodesic loop at a point
• Homologie singulière des espaces fibrés. Applications
• Length of geodesics on a two-dimensional sphere
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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