Local rigidity of partially hyperbolic actions. iI

The geometric method and restrictions of weyl chamber flows on SL(n,R)/Γ

Danijela Damjanović, Anatoly Katok

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We prove local differentiable rigidity for generic rank 2 restrictions of Weyl chamber flows by introducing a new "geometric" method in rigidity of actions of higher rank abelian groups based on the study of the combinatorial structure of the web of Lyapunov foliations.

Original languageEnglish (US)
Pages (from-to)4405-4430
Number of pages26
JournalInternational Mathematics Research Notices
Volume2011
Issue number19
DOIs
StatePublished - Oct 19 2011

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Rigidity
Restriction
Foliation
Lyapunov
Abelian group
Differentiable

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Local rigidity of partially hyperbolic actions. iI : The geometric method and restrictions of weyl chamber flows on SL(n,R)/Γ. / Damjanović, Danijela; Katok, Anatoly.

In: International Mathematics Research Notices, Vol. 2011, No. 19, 19.10.2011, p. 4405-4430.

Research output: Contribution to journalArticle

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