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.

A Cartan–Hartogs version of the polydisk theorem

Mossa Roberto;Zedda Michela
2022-01-01

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.
2022
Cartan–Hartogs domains; Polydisk Theorem; Totally geodesic submanifolds
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[20] M. Zedda, R. Mossa, A Cartan–Hartogs version of the polydisk theorem, Geometriae Dedicata (2022) 216, 51.pdf

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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/345093
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