RT Journal Article
T1 Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank
A1 Díaz Ramos, José Carlos
A1 Domínguez Vázquez, Miguel
A1 Otero, Tomás
K1 Cohomogeneity one action
K1 Symmetric space
K1 Noncompact type
K1 Reducible
K1 Canonical extension
K1 Nilpotent construction
AB 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 the spaces SLn(R)/SOn, n ≥ 2, 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 f inite product of hyperbolic spaces.
PB Elsevier
YR 2023
FD 2023
LK http://hdl.handle.net/10347/33622
UL http://hdl.handle.net/10347/33622
LA eng
NO Advances in Mathematics 428 (2023) 109165
NO The authors have been supported by the projects PID2019-105138GB-C21/AEI/10.13039/501100011033 (Spain) and ED431F 2020/04 (Xunta de Galicia, Spain). The second and third authors acknowledge support of the Ramón y Cajal grant RYC-2017-22490 (Agencia Estatal de Investigación, Spain) and the FPU grant FPU19/05929 (Ministry of Universities, Spain), respectively.
DS Minerva
RD 28 abr 2026