Logarithmic systolic growth for hyperbolic surfaces in every genus

DOI10.1090/PROC/16985MaRDI QIDQ6654044

Stéphane Sabourau, Mikhail G. Katz

Publication date: 18 December 2024

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

zbMATH Keywords

systolehyperbolic surfaceslogarithmic systolic growth

Mathematics Subject Classification ID

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Cites Work

• Title not available (Why is that?)
• Surfaces with isolated double points
• Riemann surfaces with shortest geodesic of maximal length
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• Theta functions on Riemann surfaces
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• Graphs of large girth and surfaces of large systole
• The homology systole of hyperbolic Riemann surfaces
• The difference between consecutive primes. II
• Hyperbolic surfaces with long systoles that form a pants decomposition
• Injectivity radius and low eigenvalues of hyperbolic manifolds.
• Simple closed geodesics and the study of Teichm\"uller spaces
• A Note on Riemann Surfaces of Large Systole
• Geometry and spectra of compact Riemann surfaces
• Extending Gromov's optimal systolic inequality
• Sharp systolic bounds on negatively curved surfaces
• Nonpositively curved surfaces are Loewner

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