Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank

Autor:	Diaz-Ramos, Jose Carlos, Dominguez-Vazquez, Miguel, Otero, Tomas
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry 53C35 57S20
Druh dokumentu:	Working Paper
Popis:	We develop a new structural result for cohomogeneity one actions on (not necessarily irreducible) symmetric spaces of noncompact type and arbitrary rank. We apply this result to classify cohomogeneity one actions on SL(n,R)/SO(n), n>1, up to orbit equivalence. We also reduce the classification problem on a reducible space to the classification on each one of its irreducible factors, which in particular allows to classify cohomogeneity one actions on any finite product of hyperbolic spaces. Comment: 30 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.05138 Zobrazit plný text záznamu View this record from Arxiv