Killing fields in compact Lorentz 3-manifolds

DOI10.4310/jdg/1214458535zbMath0877.53048OpenAlexW1592440131WikidataQ115177186 ScholiaQ115177186MaRDI QIDQ1126427

Abdelghani Zeghib

Publication date: 6 November 1997

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214458535

zbMATH Keywords

Lorentz manifoldgeodesic flowhorocycle flow

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (15)

Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds ⋮ Holomorphic Riemannian metrics on compact threefolds are locally homogeneous ⋮ An Invitation to Quasihomogeneous Rigid Geometric Structures ⋮ Partially hyperbolic diffeomorphisms and Lagrangian contact structures ⋮ Three-dimensional Lorentz geometries: Classification and completeness ⋮ The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds ⋮ Quasihomogeneous three-dimensional real-analytic Lorentz metrics do not exist ⋮ Variations on Gromov's open-dense orbit theorem ⋮ The identity component of the isometry group of a compact Lorentz manifold ⋮ Lorentzian manifolds admitting a killing vector field ⋮ Locally homogeneous rigid geometric structures on surfaces ⋮ Affine transformations and parallel lightlike vector fields on compact Lorentzian 3-manifolds ⋮ Lorentz dynamics on closed 3-manifolds ⋮ QUASIHOMOGENEOUS ANALYTIC AFFINE CONNECTIONS ON SURFACES ⋮ Cartan connections and path structures with large automorphism groups

This page was built for publication: Killing fields in compact Lorentz 3-manifolds