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

DOI10.1007/978-3-030-74863-0_11zbMath1489.53081OpenAlexW3202517857MaRDI QIDQ5016444

Lien-Yung Kao

Publication date: 13 December 2021

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-74863-0_11

zbMATH Keywords

surfaceshyperbolic 3-manifoldsWeil-Petersson metricquasi-Fuchsian spaceBowen rigidityminimal hyperbolic germsSander's metric

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Global submanifolds (53C40)

Cites Work

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• Weil-Petersson metrics, Manhattan curves and Hausdorff dimension
• Rufus Bowen (1947-1978)
• Thermodynamics, dimension and the Weil-Petersson metric
• Hausdorff dimension and the Weil-Petersson extension to quasifuchsian space
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• Hausdorff dimension of quasi-circles
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• The ergodic theory of axiom A flows
• Subadditive ergodic theory
• The Manhattan curve and the correlation of length spectra on hyperbolic surfaces
• Derivatives of topological entropy for Anosov and geodesic flows
• Entropy of embedded surfaces in quasi-Fuchsian manifolds
• Representation theoretic rigidity in \(PSL(2,\mathbb{R})\)
• Volume growth, entropy and the geodesic stretch
• Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
• Applications of ergodic theory to the investigation of manifolds of negative curvature
• Entropy, minimal surfaces and negatively curved manifolds
• Periodic Orbits for Hyperbolic Flows
• Sub-actions for Anosov flows
• Über Flächen mit einer Relation zwischen den Hauptkrümmungen. Meinem Lehrer Erhard Schmidt in Verehrung und Freundschaft zum 75. Geburtstag gewidmet.
• Hyperbolic manifolds and discrete groups

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