Entropy of systolically extremal surfaces and asymptotic bounds

DOI10.1017/S0143385704001014zbMath1097.53027arXivmath/0410312OpenAlexW2028170962WikidataQ30054021 ScholiaQ30054021MaRDI QIDQ5709833

Stéphane Sabourau, Mikhail G. Katz

Publication date: 30 November 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410312

zbMATH Keywords

genusminimal entropyisoembolic ratiooptimal systolic ratiosystolically extremal 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) Orbit growth in dynamical systems (37C35)

Related Items (16)

On 2-systoles of hyperbolic 3-manifolds ⋮ Sharp upper bounds on the length of the shortest closed geodesic on complete punctured spheres of finite area ⋮ On the minimal diameter of closed hyperbolic surfaces ⋮ Systoles on Compact Riemann Surfaces with Symbolic Dynamics ⋮ Short loop decompositions of surfaces and the geometry of Jacobians ⋮ 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 volume of hyperbolic manifolds and connected sums of manifolds ⋮ Systolic inequalities and Massey products in simply-connected manifolds ⋮ Asymptotic properties of coverings in negative curvature ⋮ Embolic aspects of black hole entropy ⋮ An inequality for length and volume in the complex projective plane ⋮ Hyperelliptic surfaces are Loewner ⋮ Boundary case of equality in optimal Loewner-type inequalities ⋮ Discrete systolic inequalities and decompositions of triangulated surfaces

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