Short loops in surfaces with a circular boundary component

DOI10.1142/S1793525319500602zbMath1460.53040arXiv1602.00854OpenAlexW2963503357MaRDI QIDQ5117600

Panos Papasoglu

Publication date: 26 August 2020

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

Full work available at URL: https://arxiv.org/abs/1602.00854

zbMATH Keywords

areaisoperimetric inequalitysystole

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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• Loewner's torus inequality with isosystolic defect
• Filling Riemannian manifolds
• Filling area conjecture and ovalless real hyperelliptic surfaces
• Some inequalities in certain nonorientable Riemannian manifolds
• Löwner's conjecture, the Besicovitch barrel, and relative systolic geometry

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