TT-tensors and conformally flat structures on 3-manifolds

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dc.creatorBeig, R.
dc.date1996-06-18
dc.date.accessioned2026-07-07T09:13:52Z
dc.date.available2026-07-07T09:13:52Z
dc.descriptionWe 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/9606055
dc.identifierhttp://arxiv.org/abs/gr-qc/9606055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152474
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.titleTT-tensors and conformally flat structures on 3-manifolds
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