Generic uniqueness of shortest closed geodesics

DOI10.1007/s00526-016-1060-1zbMath1378.53054OpenAlexW2524539118MaRDI QIDQ343008

Jan Philipp Schröder

Publication date: 18 November 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-016-1060-1

zbMATH Keywords

homotopy classclosed geodesicFinsler metricgenericityfree loop space

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Generic properties, structural stability of dynamical systems (37C20)

Related Items

Minimal rays on closed surfaces

Cites Work

• Almost every curve in \(R^3\) bounds a unique area minimizing surface
• Lagrangian graphs, minimizing measures and Mañé's critical values
• A generic property of families of Lagrangian systems
• Generic properties and problems of minimizing measures of Lagrangian systems
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