Rigidity of higher rank abelian cocycles with values in diffeomorphism groups

Autor:	Anatole Katok, Viorel Niţică
Rok vydání:	2007
Předmět:	Algebra Pure mathematics Mathematics::Dynamical Systems Group (mathematics) Lattice (group) Torsion (algebra) Lie group Geometry and Topology Algebraic geometry Diffeomorphism Rank (differential topology) Abelian group Mathematics
Zdroj:	Geometriae Dedicata. 124:109-131
ISSN:	1572-9168 0046-5755
DOI:	10.1007/s10711-006-9116-6
Popis:	We consider cocycles over certain hyperbolic \({\mathbb{R}^k}\) actions, \({k\ge 2}\) , and show rigidity properties for cocycles with values in a Lie group or a diffeomorphism group, which are close to identity on a set of generators, and are sufficiently smooth. The actions we consider are Cartan actions of \({SL(n,\mathbb{R})/\Gamma}\) or \({SL(n,\mathbb{C})/\Gamma}\) , for \({n\ge 3}\) , and Γ torsion free cocompact lattice. The results in this paper rely on a technique developed recently by D. Damjanovic and A. Katok.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::88920c1501f7860f7f6810ce7d05d64b https://doi.org/10.1007/s10711-006-9116-6 Zobrazit plný text záznamu Full text from SpringerLink