English

A Cartan-Hartogs version of the Polydisk Theorem

Differential Geometry 2022-07-26 v2

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.

Keywords

Cite

@article{arxiv.2108.00199,
  title  = {A Cartan-Hartogs version of the Polydisk Theorem},
  author = {Roberto Mossa and Michela Zedda},
  journal= {arXiv preprint arXiv:2108.00199},
  year   = {2022}
}

Comments

18 pages

R2 v1 2026-06-24T04:42:45.455Z