Contact Lorentzian manifolds
type: Item
instance of: scholarly article
title: Contact Lorentzian manifolds
zbMATH Open document ID: 1232.53064
author: Giovanni Calvaruso
published in: Differential Geometry and its Applications
publication date: 2011-10-12T00:00:00Z
review text: The paper under review contains an announcement of the classification of contact Lorentzian manifolds of constant sectional curvature in dimension \(>3\), as well as three-dimensional homogeneous contact Lorentzian manifolds. The proof is mainly based on the 1-1 correspondence between Riemannian contact structures -- see, e.g., \textit{D. E. Blair} [Riemannian geometry of contact and symplectic manifolds. Boston, MA: Birkhäuser (2002; Zbl 1011.53001)] -- and Lorentzian contact structures, described explicitly by the author in the paper. The paper also investigates properties of contact Lorentzian manifolds, by analogy with the Riemannian case. For instance, the author proves that a Sasakian contact Lorentzian manifold is K-contact, and proves the converse in the case of three-dimensional manifolds.
reviewed by: Sofiane Bouarroudj
Mathematics Subject Classification ID: 53D10
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 5957568
zbMATH Keywords: contact structures
zbMATH Keywords: Lorentzian metrics
zbMATH Keywords: pseudo-Riemannian metrics
zbMATH Keywords: locally symmetric and homogeneous contact pseudo-metric three manifolds
Wikidata QID: Q115356922
MaRDI profile type: Publication
full work available at URL: j.difgeo.2011.04.006
OpenAlex ID: W1972365171
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DOI: 10.1016/J.DIFGEO.2011.04.006
description: scientific article; zbMATH DE number 5957568