Dyck’s surfaces, systoles, and capacities

DOI10.1090/S0002-9947-2014-06216-8zbMath1314.53074arXiv1205.0188OpenAlexW2963938880MaRDI QIDQ5247008

Stéphane Sabourau, Mikhail G. Katz

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0188

zbMATH Keywords

capacityRiemann surfacesystoleconformal structureextremal metrichyperellipticityantiholomorphic involutionDyck's surfacenonpositively curved surfaceoptimal systolic inequality

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Sharp upper bounds on the length of the shortest closed geodesic on complete punctured spheres of finite area ⋮ Inequalities for the capacity of non-contractible annuli on cylinders of constant and variable negative curvature ⋮ Extending Gromov's optimal systolic inequality ⋮ Systolically extremal nonpositively curved surfaces are flat with finitely many singularities ⋮ Bolza Quaternion Order and Asymptotics of Systoles Along Congruence Subgroups

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