Conformal Killing tensors in reducible spaces

G. J. Weir

doi:10.1063/1.523488

journal article Sep 01, 1977

Conformal Killing tensors in reducible spaces

G. J. Weir

Journal of Mathematical Physics Vol. 18 No. 9 pp. 1782-1787 · AIP Publishing

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Abstract

It is shown that the dimension of the vector space of second order, trace-free conformal Killing tensors (CKT’s) in a Riemannian space of dimension n (?3) is bounded above by (1/12)(n−1)(n+2)(n+3)(n+4) and that this is attained in flat space. The discussion is eventually restricted to four-dimensional spaces which admit a two-dimensional, Abelian, orthogonally transitive symmetry group, as well as one nonredundant CKT. A sufficient condition is given for an empty space to be Type D.

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Details

Published: Sep 01, 1977
Vol/Issue: 18(9)
Pages: 1782-1787

Authors

G

G. J. Weir

Department of Mathematics, University of Canterbury, New Zealand

Cite This Article

G. J. Weir (1977). Conformal Killing tensors in reducible spaces. Journal of Mathematical Physics, 18(9), 1782-1787. https://doi.org/10.1063/1.523488

Conformal Killing tensors in reducible spaces

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