Nonpositively curved surfaces are Loewner

DOI10.1007/S12220-024-01732-4MaRDI QIDQ6596293

Stéphane Sabourau, Mikhail G. Katz

Publication date: 2 September 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Liouville measuresystolesystolic inequalitynonpositively curved surface

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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• Isosystolic genus three surfaces critical for slow metric variations
• Inégalité isosystolique pour la bouteille de Klein. (Isosystolic inequalities for the Klein bottle)
• Riemann surfaces with shortest geodesic of maximal length
• Some inequalities in certain nonorientable Riemannian manifolds
• Hyperelliptic surfaces are Loewner
• Systolically extremal nonpositively curved surfaces are flat with finitely many singularities
• Dyck’s surfaces, systoles, and capacities
• Entropy of systolically extremal surfaces and asymptotic bounds
• Extending Gromov's optimal systolic inequality

Related Items (1)

Logarithmic systolic growth for hyperbolic surfaces in every genus

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