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

Danijela Damjanović; Anatole Katok

doi:10.1093/imrn/rnq252

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

Danijela Damjanović, Anatole Katok

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18 Scopus citations

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 language	English (US)
Pages (from-to)	4405-4430
Number of pages	26
Journal	International Mathematics Research Notices
Volume	2011
Issue number	19
DOIs	https://doi.org/10.1093/imrn/rnq252
State	Published - 2011

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Local rigidity of partially hyperbolic actions. iI: The geometric method and restrictions of weyl chamber flows on SL(n,R)/Γ",

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.",

author = "Danijela Damjanovi{\'c} and Anatole Katok",

note = "Funding Information: Based on research supported by NSF grants DMS 0071339 and DMS 0505539.",

year = "2011",

doi = "10.1093/imrn/rnq252",

language = "English (US)",

volume = "2011",

pages = "4405--4430",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

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T2 - The geometric method and restrictions of weyl chamber flows on SL(n,R)/Γ

AU - Damjanović, Danijela

AU - Katok, Anatole

N1 - Funding Information: Based on research supported by NSF grants DMS 0071339 and DMS 0505539.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

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U2 - 10.1093/imrn/rnq252

DO - 10.1093/imrn/rnq252

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 19

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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

Abstract

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