Geodesic
TT-tensors and conformally flat structures on 3-manifolds
Banach Center Publications, Tome 41 (1997) no. 1, pp. 109-118.

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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.
DOI : 10.4064/-41-1-109-118

R. Beig 1

1 
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R. Beig. TT-tensors and conformally flat structures on 3-manifolds. Banach Center Publications, Tome 41 (1997) no. 1, pp. 109-118. doi : 10.4064/-41-1-109-118. http://geodesic.mathdoc.fr/articles/10.4064/-41-1-109-118/

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