HOMOGENEOUS CR SUBMANIFOLDS OF COMPLEX HYPERBOLIC SPACES

José Carlos Díaz-Ramos; Miguel Domínguez-Vázquez; Olga Pérez-Barral

doi:10.5565/PUBLMAT6722315

2023 HOMOGENEOUS CR SUBMANIFOLDS OF COMPLEX HYPERBOLIC SPACES

José Carlos Díaz-Ramos, Miguel Domínguez-Vázquez, Olga Pérez-Barral

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Abstract

We classify homogeneous CR submanifolds in complex hyperbolic spaces arising as orbits of a subgroup of the solvable part of the Iwasawa decomposition of the isometry group of the ambient space.

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José Carlos Díaz-Ramos. Miguel Domínguez-Vázquez. Olga Pérez-Barral. "HOMOGENEOUS CR SUBMANIFOLDS OF COMPLEX HYPERBOLIC SPACES." Publ. Mat. 67 (2) 891 - 912, 2023. https://doi.org/10.5565/PUBLMAT6722315

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Received: 1 October 2021; Revised: 13 January 2022; Published: 2023

First available in Project Euclid: 29 June 2023

MathSciNet: MR4609023

zbMATH: 07720482

Digital Object Identifier: 10.5565/PUBLMAT6722315

Subjects:

Primary: 53C35 , 53C40 , 53C55 , 57S20

Keywords: complex hyperbolic space , CR submanifold , homogeneous submanifold

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