# TT-tensors and conformally flat structures on 3-manifolds

Banach Center Publications (1997)

- Volume: 41, Issue: 1, page 109-118
- ISSN: 0137-6934

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topBeig, R.. "TT-tensors and conformally flat structures on 3-manifolds." Banach Center Publications 41.1 (1997): 109-118. <http://eudml.org/doc/252202>.

@article{Beig1997,

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.},

author = {Beig, R.},

journal = {Banach Center Publications},

keywords = {TT-tensors; essential infinitesimal deformations; conformally flat 3-manifolds; Cotton-York tensor},

language = {eng},

number = {1},

pages = {109-118},

title = {TT-tensors and conformally flat structures on 3-manifolds},

url = {http://eudml.org/doc/252202},

volume = {41},

year = {1997},

}

TY - JOUR

AU - Beig, R.

TI - TT-tensors and conformally flat structures on 3-manifolds

JO - Banach Center Publications

PY - 1997

VL - 41

IS - 1

SP - 109

EP - 118

AB - 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.

LA - eng

KW - TT-tensors; essential infinitesimal deformations; conformally flat 3-manifolds; Cotton-York tensor

UR - http://eudml.org/doc/252202

ER -

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