CR-structures and Lorentzian geometry
type: Item
instance of: scholarly article
title: CR-structures and Lorentzian geometry
zbMATH Open document ID: 0608.53053
DOI: 10.1007/BF00047093
published in: Acta Applicandae Mathematicae
publication date: 1986-01-01T00:00:00Z
review text: The paper is dealing with interrelations between Cauchy-Riemann structures and Lorentzian geometry. First, the author studies the concept of CR-submanifold [see the reviewer, Geometry of CR-submanifolds (Dordrecht, 1986; Zbl 0605.53001)] in a Lorentz manifold. He proves that a totally umbilical CR-submanifold of a Lorentz manifold is not necessarily totally geodesic provided the holomorphic distribution is light-like. Then he introduces and studies the concept of affine conformal motion and obtains characterizations of Lorentzian manifolds admitting an infinitesimal affine conformal motion.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 3984070
zbMATH Keywords: CR-submanifold
zbMATH Keywords: totally umbilical
zbMATH Keywords: Lorentz manifold
zbMATH Keywords: affine conformal motion
author: Krishan Lal Duggal
reviewed by: Aurel Bejancu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3984070