A Cartan–Hartogs version of the polydisk theorem

Mossa Roberto;Zedda Michela

2022-01-01

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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.