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

Access to Document

10.1016/j.crma.2007.03.009

Cite this

@article{5643bae7096449b8bcef29d3670c986f,

title = "Local rigidity of restrictions of Weyl chamber flows",

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. Damjanovi{\'c}, A. Katok, C. R. Acad. Sci. Paris, Ser. I 344 (2007).",

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

year = "2007",

month = apr,

day = "15",

doi = "10.1016/j.crma.2007.03.009",

language = "English (US)",

volume = "344",

pages = "503--508",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Elsevier Masson",

number = "8",

}

TY - JOUR

T1 - Local rigidity of restrictions of Weyl chamber flows

AU - Damjanović, Danijela

AU - Katok, Anatole

PY - 2007/4/15

Y1 - 2007/4/15

N2 - 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).

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).

UR - http://www.scopus.com/inward/record.url?scp=34247339721&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34247339721&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2007.03.009

DO - 10.1016/j.crma.2007.03.009

M3 - Article

AN - SCOPUS:34247339721

SN - 1631-073X

VL - 344

SP - 503

EP - 508

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 8

ER -

Local rigidity of restrictions of Weyl chamber flows

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this