Local rigidity of restrictions of Weyl chamber flows

Danijela Damjanović; Anatole Katok

doi:10.1016/j.crma.2007.03.009

Local rigidity of restrictions of Weyl chamber flows

Danijela Damjanović
, Anatole Katok

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this Note we consider examples of partially hyperbolic actions: restrictions of Weyl chamber flows on SL (n, R) / Γ (n ≥ 4). We show that generic restrictions of rank at least two are locally rigid. Our approach combines the geometry of the invariant foliations for the action and the algebraic properties of the group SL (n, R). The method is applicable to restrictions of Weyl chamber flows on other homogeneous spaces. To cite this article: D. Damjanović, A. Katok, C. R. Acad. Sci. Paris, Ser. I 344 (2007).

Original language	English (US)
Pages (from-to)	503-508
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	344
Issue number	8
DOIs	https://doi.org/10.1016/j.crma.2007.03.009
State	Published - Apr 15 2007

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2007.03.009

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AU - Katok, Anatole

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AB - In this Note we consider examples of partially hyperbolic actions: restrictions of Weyl chamber flows on SL (n, R) / Γ (n ≥ 4). We show that generic restrictions of rank at least two are locally rigid. Our approach combines the geometry of the invariant foliations for the action and the algebraic properties of the group SL (n, R). The method is applicable to restrictions of Weyl chamber flows on other homogeneous spaces. To cite this article: D. Damjanović, A. Katok, C. R. Acad. Sci. Paris, Ser. I 344 (2007).

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Local rigidity of restrictions of Weyl chamber flows

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