The length of the second shortest geodesic

DOI10.4171/CMH/179zbMath1178.53039OpenAlexW2024987471MaRDI QIDQ843197

Regina Rotman, Alexander Nabutovsky

Publication date: 29 September 2009

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0010-2571&vol=84&iss=4&rank=2

zbMATH Keywords

fillingclosed manifoldgeodesic loopdistinct geodesicsshort geodesic

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) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (7)

Length of geodesics and quantitative Morse theory on loop spaces ⋮ Relative systoles of relative-essential 2-complexes ⋮ Flowers on Riemannian manifolds ⋮ Hurwitz quaternion order and arithmetic Riemann surfaces ⋮ Short geodesic segments between two points on a closed Riemannian manifold ⋮ Short geodesic loops on complete Riemannian manifolds with a finite volume ⋮ Lengths of geodesics between two points on a Riemannian manifold

This page was built for publication: The length of the second shortest geodesic