The integral constraint vectors of Traschen and three-surface twistors
type: Item
instance of: scholarly article
title: The integral constraint vectors of Traschen and three-surface twistors
zbMATH Open document ID: 0661.53018
DOI: 10.1007/BF00756055
published in: General Relativity and Gravitation
publication date: 1988-01-01T00:00:00Z
review text: An integral constraint vector or ICV on a spacelike hypersurface \(\Sigma\) in a space-time is a vector field tangent to \(\Sigma\) satisfying two differential equations involving the first and the second fundamental forms of \(\Sigma\). The author interprets an ICV as a covariant constant object with respect to a connection depending on \(\Sigma\). So, the existence of ten linearly independent ICVs is reduced to the finding of the conditions for the vanishing of the curvature of this connection. These conditions are interpreted in terms of embeddability of \(\Sigma\) in a space of constant curvature. Finally, the ICVs are related to three- surface twistors.
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 4080304
zbMATH Keywords: integral constraint vector
zbMATH Keywords: spacelike hypersurface
zbMATH Keywords: fundamental forms
zbMATH Keywords: connection
zbMATH Keywords: three-surface twistors
author: K. P. Tod
reviewed by: Mihai Anastasiei
MaRDI profile type: Publication
Wikidata QID: Q125348577
cites work: Q3719405
cites work: Three-surface twistors and conformal embedding
cites work: On the existence of perturbed Robertson-Walker universes
cites work: The complete mass spectrum of d=11 supergravity compactified on S 4 and a general mass formula for arbitrary cosets M 4
full work available at URL: https://doi.org/10.1007/bf00756055
OpenAlex ID: W2064547539
description: scientific article; zbMATH DE number 4080304