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On local rigidity o...
On local rigidity of partially hyperbolic affine Z(k) actions
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- Damjanović, Danijela (författare)
- KTH,Matematik (Inst.)
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- Fayad, Bassam (författare)
- CNRS IMJ PRG, Math UP7D 58 56, Ave France Boite Courrier 7012, F-75205 Paris, France.
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KTH Matematik (Inst) (creator_code:org_t)
- 2016-11-17
- 2019
- Engelska.
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Ingår i: Journal für die Reine und Angewandte Mathematik. - : WALTER DE GRUYTER GMBH. - 0075-4102 .- 1435-5345. ; 751, s. 1-26
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- The following dichotomy for affine Z(k) actions on the torus T-d, k, d is an element of N, is shown to hold: (i) The linear part of the action has no rank-one factors, and then the affine action is locally rigid. (ii) The linear part of the action has a rank-one factor, and then the affine action is locally rigid in a probabilistic sense if and only if the rank-one factors are trivial. Local rigidity in a probabilistic sense means that rigidity holds for a set of full measure of translation vectors in the rank-one factors.
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
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