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Title

TT-tensors and conformally flat structures on 3-manifolds

Authors 1

Affiliations

  1. Institut für Theoretische Physik, Universität Wien, Austria, Boltzmanngasse 5, A-1090 Wien, Austria

Abstract

We study TT-tensors on conformally flat 3-manifolds (M,g). The Cotton-York tensor linearized at g maps every symmetric tracefree tensor into one which is TT. The question as to whether this is the general solution to the TT-condition is viewed as a cohomological problem within an elliptic complex first found by Gasqui and Goldschmidt and reviewed in the present paper. The question is answered affirmatively when M is simply connected and has vanishing 2nd de Rham cohomology.

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Banach Center Publications
1997/41/1
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Pages:
109-118
Main language of publication
English
Published
1997
Exact and natural sciences