A characterization of CR quadrics with a symmetry property

Autor:	Altomani, Andrea, Medori, Costantino
Rok vydání:	2010
Předmět:	Mathematics - Complex Variables Mathematics - Differential Geometry 32V05 (Primary) 16W10 17B66 32V20 53C30 57S20 (Secondary)
Zdroj:	Journal of Geometric Analysis 22 n.3 (2012) 892-909
Druh dokumentu:	Working Paper
DOI:	10.1007/s12220-011-9228-6
Popis:	We study CR quadrics satisfying a symmetry property $(\tilde S)$ which is slightly weaker than the symmetry property $(S)$, recently introduced by W. Kaup, which requires the existence of an automorphism reversing the gradation of the Lie algebra of infinitesimal automorphisms of the quadric. We characterize quadrics satisfying the $(\tilde S)$ property in terms of their Levi-Tanaka algebras. In many cases the $(\tilde S)$ property implies the $(S)$ property; this holds in particular for compact quadrics. We also give a new example of a quadric such that the dimension of the algebra of positive-degree infinitesimal automorphisms is larger than the dimension of the quadric. Comment: 16 pages. v2: minor revision, added references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1011.3358 Zobrazit plný text záznamu View this record from Arxiv