On Lorentzian manifolds with highest first Betti number
From MaRDI portal
Publication:5962671
DOI10.5802/aif.2962zbMath1348.53071arXiv1311.6723OpenAlexW2963143789MaRDI QIDQ5962671
Publication date: 15 February 2016
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.6723
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Foliations (differential geometric aspects) (53C12) Issues of holonomy in differential geometry (53C29)
Related Items (6)
The metric structure of compact rank-one ECS manifolds ⋮ On the first Betti number of spacetimes with parallel lightlike vector field ⋮ Hyperbolic evolution equations, Lorentzian holonomy, and Riemannian generalised Killing spinors ⋮ Affine transformations and parallel lightlike vector fields on compact Lorentzian 3-manifolds ⋮ Parallel spinors on globally hyperbolic Lorentzian four-manifolds ⋮ Completeness of compact Lorentzian manifolds with abelian holonomy
Cites Work
- Modified differentials and basic cohomology for Riemannian foliations
- Deux remarques sur les flots Riemanniens. (Two remarks on Riemannian flows)
- Screen bundles of Lorentzian manifolds and some generalisations of \(pp\)-waves
- On irreducible 3-manifolds which are sufficiently large
- Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
- Holonomy Groups of Lorentzian Manifolds: A Status Report
- The lower central and derived series of the braid groups of the sphere
- Finiteness and tenseness theorems for Riemannian foliations
- Transversally Parallelizable Foliations of Codimension Two
- Riemannian Geometry
- The Homology Sequence of the Double Covering; Betti Numbers and Duality
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On Lorentzian manifolds with highest first Betti number
