Hyperelliptic surfaces are Loewner

DOI10.1090/S0002-9939-05-08057-3zbMath1090.53045arXivmath/0407009WikidataQ56882359 ScholiaQ56882359MaRDI QIDQ3372097

Stéphane Sabourau, Mikhail G. Katz

Publication date: 17 February 2006

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

Full work available at URL: https://arxiv.org/abs/math/0407009

zbMATH Keywords

Weierstrass points\(\varepsilon\)-regular metricsLoewner loopsM.~Gromov's area estimates

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Systoles on Compact Riemann Surfaces with Symbolic Dynamics ⋮ Extending Gromov's optimal systolic inequality ⋮ Isosystolic genus three surfaces critical for slow metric variations ⋮ Hyperellipticity and systoles of Klein surfaces ⋮ Systolic invariants of groups and 2-complexes via Grushko decomposition ⋮ Systolic inequalities and Massey products in simply-connected manifolds ⋮ A Pu-Bonnesen inequality ⋮ An inequality for length and volume in the complex projective plane ⋮ A systolic inequality with remainder in the real projective plane ⋮ Boundary case of equality in optimal Loewner-type inequalities

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