Improvement and generalisation of Papasoglu's lemma

zbMath1497.53085arXiv1708.09623MaRDI QIDQ5043304

Simon Allais

Publication date: 21 October 2022

Full work available at URL: https://arxiv.org/abs/1708.09623

Mathematics Subject Classification ID

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)

Cites Work

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• Isosystolic inequalities for optical hypersurfaces
• Filling minimality of Finslerian 2-discs
• Contracting the boundary of a Riemannian 2-disc
• Filling Riemannian manifolds
• Geometric measure theory.
• Measurements of Riemannian two-disks and two-spheres
• Some inequalities in certain nonorientable Riemannian manifolds
• Slicing a 2-sphere
• Cheeger constants of surfaces and isoperimetric inequalities

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