Prescribing the curvature of leaves of laminations: revisiting a theorem by Candel

DOI10.5802/aif.3476OpenAlexW3083959821MaRDI QIDQ2152454

Yanyan Li

Publication date: 8 July 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.04594

zbMATH Keywords

lamination by hyperbolic surfacesprescrired curvature

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Foliations in differential topology; geometric theory (57R30)

Related Items

Low-dimensional solenoidal manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Foliations, the ergodic theorem and Brownian motion
• On the inequality \(\Delta u \geqq f (u)\)
• Riemann's mapping theorem for variable metrics
• Dense embeddings of surface groups
• A universal Riemannian foliated space
• Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson. (Homotopy groupoid of a Riemannian foliation and symplectic realization of certain Poisson manifolds)
• Conformal deformations of complete manifolds with negative curvature
• Manifolds of nonpositive curvature
• Gauss-Bonnet theorem for 2-dimensional foliations
• Foliations: geometric studies
• Prescribing curvature on open surfaces
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Surface foliations, vanishing cycles and Poisson manifolds
• The harmonic measures of Lucy Garnett
• Generic coarse geometry of leaves
• Gibbs \(u\)-states for the foliated geodesic flow and transverse invariant measures
• Physical measures for the geodesic flow tangent to a transversally conformal foliation
• Curvature functions for open 2-manifolds
• Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces
• Curvature functions for compact 2-manifolds
• Hyperbolic Plateau problems
• Teichmüller theory of the punctured solenoid
• Reeb stability and the Gromov-Hausdorff limits of leaves in compact foliations
• Riemannian structures of prescribed Gaussian curvature for compact 2- manifolds
• Brownian motion on stationary random manifolds
• Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves
• Uniformization of surface laminations
• Uniformization of compact foliated spaces by surfaces of hyperbolic type via the Ricci flow
• Nonrigidity of hyperbolic surfaces laminations
• Complete Metrics Conformal to the Hyperbolic Disc
• Introduction to the Geometry of Foliations, Part A
• Elliptic Partial Differential Equations of Second Order
• The Teichmüller space of the Hirsch foliation
• Gibbs measures for foliated bundles with negatively curved leaves
• Unique ergodicity of the horocycle flow on Riemannnian foliations
• Foliated hyperbolicity and foliations with hyperbolic leaves
• Riemannian Geometry
• Finiteness Theorems for Riemannian Manifolds
• Earthquakes and Graftings of Hyperbolic Surface laminations
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

This page was built for publication: Prescribing the curvature of leaves of laminations: revisiting a theorem by Candel