On metrics on 2-orbifolds all of whose geodesics are closed

DOI10.1515/crelle-2017-0050zbMath1431.53045arXiv1603.08455OpenAlexW2962909026MaRDI QIDQ2282298

Christian Lange

Publication date: 7 January 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08455

zbMATH Keywords

rigiditysystolic inequalityprime geodesicorbifold topology

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22)

Related Items (8)

A Boothby-Wang theorem for Besse contact manifolds ⋮ Almost Zoll Affine Surfaces ⋮ DEFORMATIONS OF THE VERONESE EMBEDDING AND FINSLER -SPHERES OF CONSTANT CURVATURE ⋮ Higher systolic inequalities for 3-dimensional contact manifolds ⋮ On the existence of closed geodesics on 2-orbifolds ⋮ Orbifolds from a metric viewpoint ⋮ Odd-dimensional orbifolds with all geodesics closed are covered by manifolds ⋮ Sharp systolic inequalities for rotationally symmetric 2-orbifolds

Cites Work

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• A systolic inequality for geodesic flows on the two-sphere
• Curvature explosion in quotients and applications
• On contact manifolds
• Geodesics on weighted projective spaces
• On finite groups acting on spheres and finite subgroups of orthogonal groups
• Geodesics closed on the projective plane
• On metrics on \(S^ 2\) all of whose geodesics are closed
• Geodesic foliations by circles
• The Radon transform on Zoll surfaces
• Unit tangent bundle over two-dimensional real projective space.
• Seifert fibrations of lens spaces
• On the Berger conjecture for manifolds all of whose geodesics are closed
• Topologie dreidimensionaler gefaserter Räume
• On the volume of manifolds all of whose geodesics are closed
• Matroids and quotients of spheres
• Auf-Wiedersehens-Flächen
• Some inequalities in certain nonorientable Riemannian manifolds
• Equivariant smoothing of piecewise linear manifolds
• Characterization of finite groups generated by reflections and rotations
• The Geometries of 3-Manifolds
• An Introduction to Contact Topology
• Classification of the Actions of the Circle on 3-Manifolds

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