Short geodesic segments between two points on a closed Riemannian manifold

DOI10.1007/s00039-009-0004-8zbMath1180.53043OpenAlexW1968407298WikidataQ115389246 ScholiaQ115389246MaRDI QIDQ1034680

Regina Rotman, Alexander Nabutovsky

Publication date: 6 November 2009

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-009-0004-8

zbMATH Keywords

closed Riemannian manifoldslength of geodesics

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)

Related Items (3)

Length of geodesics and quantitative Morse theory on loop spaces ⋮ Flowers on Riemannian manifolds ⋮ Spheres of small diameter with long sweep-outs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Morse landscape of a Riemannian disk
• The length of the second shortest geodesic
• A Zoll counterexample to a geodesic length conjecture
• Filling Riemannian manifolds
• Area and the length of the shortest closed geodesic
• Global and local volume bounds and the shortest geodesic loops
• The length of a shortest geodesic loop at a point
• Lengths of geodesics between two points on a Riemannian manifold
• Length of geodesics on a two-dimensional sphere

This page was built for publication: Short geodesic segments between two points on a closed Riemannian manifold