TT - tensors and conformally flat structures on 3 - manifolds
نویسنده
چکیده
We study transverse-tracefree (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. Talk given at the Workshop " Mathematical aspects of theories of gravitation " ,
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