On the ergodicity of unitary frame flows on Kähler manifolds

DOI10.1017/etds.2023.72MaRDI QIDQ6624539

Uwe Semmelmann, Andrei Moroianu, Mihajlo Cekić, Thibault Lefeuvre

Publication date: 25 October 2024

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

zbMATH Keywords

partially hyperbolic flowsKähler manifoldsergodic theoryPestov identityframe flows

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Kähler manifolds (32Q15) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (1)

On the ergodicity of the frame flow on even-dimensional manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The X-ray transform for connections in negative curvature
• Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
• High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows
• On the spectrum of geometric operators on Kähler manifolds
• Integral geometry of tensor fields on a manifold of negative curvature
• On the ergodicity of frame flows
• The topology of group extensions of C systems
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
• Asymptotic properties of unitary representations
• Geodesic flows
• Stable ergodicity and frame flows
• Integral geometry for tensor fields. Transl. from the Russian
• Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives
• On the topology of positively curved Kaehler manifolds
• Isometric extensions of Anosov flows via microlocal analysis
• Sur quelques variétés riemanniennes suffisamment pincées
• $G$-STRUCTURES ON SPHERES
• Curvature operators: pinching estimates and geometric examples
• G-Structures on Spheres
• Fuchsian groups and ergodic theory.
• Stability estimates for the holonomy inverse problem

This page was built for publication: On the ergodicity of unitary frame flows on Kähler manifolds