Slicing a 2-sphere

DOI10.1142/S1793525314500228zbMath1296.30053arXiv1401.0060MaRDI QIDQ2878777

Yevgeny Liokumovich

Publication date: 5 September 2014

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0060

zbMATH Keywords

Riemannian geometrygeodesicsisoperimetric inequalityFinsler geometry

Mathematics Subject Classification ID

Riemann surfaces (30F99)

Related Items (5)

Families of short cycles on Riemannian surfaces ⋮ Isosystolic inequalities for optical hypersurfaces ⋮ Volume of minimal hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ Improvement and generalisation of Papasoglu's lemma ⋮ Waist of maps measured via Urysohn width

Cites Work

• Area and the length of the shortest closed geodesic
• Lipshitz maps from surfaces
• Cheeger constants of surfaces and isoperimetric inequalities
• Filling Radius and Short Closed Geodesics of the $2$-Sphere
• The length of a shortest closed geodesic and the area of a 2-dimensional sphere

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