Estimates of volume by the length of shortest closed geodesics on a convex hypersurface

DOI10.1007/BF01388728zbMath0563.53035MaRDI QIDQ1057516

Andrejs E. Treibergs

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143241

zbMATH Keywords

closed geodesicconvex hypersurface

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (5)

Crofton formulas in pseudo-Riemannian space forms ⋮ Volume of minimal hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ Length of a shortest closed geodesic in manifolds of dimension four ⋮ SHARP POINCARÉ–SOBOLEV INEQUALITIES AND THE SHORTEST LENGTH OF SIMPLE CLOSED GEODESICS ON A TOPOLOGICAL TWO SPHERE ⋮ The length of the shortest closed geodesic in a closed Riemannian 3-manifold with nonnegative Ricci curvature

Cites Work

• Unnamed Item
• Filling Riemannian manifolds
• Poincaré's problem and the length of the shortest closed geodesic on a convex hypersurface

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