A Cartan-Hartogs version of the Polydisk Theorem
arXiv:2108.00199 · doi:10.1007/s10711-022-00709-3
Abstract
We extend the Polydisk Theorem for symmetric bounded domains to Cartan-Hartogs domains, and apply it to prove that a Cartan-Hartogs domain inherits totally geodesic submanifolds from the bounded symmetric domain which is based on, and to give a characterization of Cartan-Hartogs's geodesics with linear support.
18 pages