A note on D(k,0) Killing spinors
type: Item
instance of: scholarly article
title: A note on D(k,0) Killing spinors
zbMATH Open document ID: 0534.53016
DOI: 10.1007/BF01215279
author: G. F. Torres del Castillo
published in: Communications in Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: The author explicitly integrates the equations for a D(k,0) Killing spinor field, i.e. for a totally symmetric Killing spinor field having 2k indices, subject to the hypothesis that the left conformal curvature does not vanish and that either \(k\neq 2,4,6,..\). or that the Einstein vacuum field equations are satisfied. Contents include an Introduction, Integrability conditions, Integration of the equations, Induced Killing vectors, conclusions, and an Appendix.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C40
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 3848161
zbMATH Keywords: H-spaces
zbMATH Keywords: complex Riemannian geometry
zbMATH Keywords: totally symmetric Killing spinor field
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
cites work: On quadratic first integrals of the geodesic equations for type [22] spacetimes
cites work: Some basic properties of Killing spinors
cites work: Killing vectors in plane HH spaces
cites work: Null geodesic surfaces and Goldberg–Sachs theorem in complex Riemannian spaces
cites work: Null strings and Bianchi identities
cites work: The symmetries of Kerr black holes
full work available at URL: https://doi.org/10.1007/bf01215279
OpenAlex ID: W2059092210
description: scientific article; zbMATH DE number 3848161