Homogeneous CR submanifolds of complex hyperbolic spaces
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Olga Perez-Barral
TL;DR
This paper classifies homogeneous CR submanifolds in complex hyperbolic spaces as orbits of certain subgroups, enhancing understanding of their geometric structure.
Contribution
It provides a classification of homogeneous CR submanifolds in complex hyperbolic spaces based on subgroup orbits from the Iwasawa decomposition.
Findings
Complete classification of such submanifolds
Identification of subgroup orbits as CR submanifolds
Insights into the geometric structure of these submanifolds
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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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Holomorphic and Operator Theory · Point processes and geometric inequalities