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.
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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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