Filling minimality of Finslerian 2-discs
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Publication:641944
DOI10.1134/S0081543811040079zbMath1241.53062arXiv0910.2257OpenAlexW2071302355MaRDI QIDQ641944
Publication date: 25 October 2011
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.2257
Length, area, volume and convex sets (aspects of convex geometry) (52A38) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Direct methods ((G)-spaces of Busemann, etc.) (53C70)
Related Items (9)
Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces ⋮ Isosystolic inequalities for optical hypersurfaces ⋮ Local monotonicity of Riemannian and Finsler volume with respect to boundary distances ⋮ On the local systolic optimality of Zoll contact forms ⋮ Improvement and generalisation of Papasoglu's lemma ⋮ On filling minimality of simple Finsler manifolds ⋮ Optimal systolic inequalities on Finsler Möbius bands ⋮ Majorization by hemispheres and quadratic isoperimetric constants ⋮ A systolic-like extremal genus two surface
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- Two dimensional compact simple Riemannian manifolds are boundary distance rigid
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- Some inequalities in certain nonorientable Riemannian manifolds
- A volume comparison theorem for Finsler manifolds
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