Entropy of embedded surfaces in quasi-Fuchsian manifolds

DOI10.2140/pjm.2018.294.375zbMath1386.30044arXiv1510.03246OpenAlexW2964219289MaRDI QIDQ1703655

Olivier Glorieux

Publication date: 7 March 2018

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03246

zbMATH Keywords

compact Riemann surfacesquasi-Fuchsian groupsdisks embedded in \(\mathbb H^3\)

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (1)

Entropy Rigidity, Pressure Metric, and Immersed Surfaces in Hyperbolic 3-Manifolds

Cites Work

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• Subadditive ergodic theory
• The limit set of a Fuchsian group
• Ergodic properties of function groups
• Volume growth, entropy and the geodesic stretch
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Equilibrium states in negative curvature
• A criterion of conjugacy for Zariski dense subgroups
• Length distortion and the Hausdorff dimension of limit sets
• Ergodicité et équidistribution en courbure négative

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