Poincaré's problem and the length of the shortest closed geodesic on a convex hypersurface

DOI10.4310/jdg/1214437488zbMath0501.53031OpenAlexW1593321944WikidataQ115188005 ScholiaQ115188005MaRDI QIDQ1172290

Christopher B. Croke

Publication date: 1982

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214437488

zbMATH Keywords

closed geodesicminimal lengthconvex hypersurfacepiecewise geodesic curvesPoincare's problem

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Geodesics in global differential geometry (53C22)

Related Items

Contact geometry in the restricted three-body problem: a survey, Minimizing geodesic nets and critical points of distance, Closed curves on convex hypersurfaces and periods of nonlinear oscillations, Geodesic nets on the 2-sphere, Min-max theory, Willmore conjecture and the energy of links, SHARP POINCARÉ–SOBOLEV INEQUALITIES AND THE SHORTEST LENGTH OF SIMPLE CLOSED GEODESICS ON A TOPOLOGICAL TWO SPHERE, Geodesics and soap bubbles in surfaces, Poincaré’s closed geodesic on a convex surface, Estimates of volume by the length of shortest closed geodesics on a convex hypersurface