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, R.; Zedda, M.. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - 216:5(2022). [10.1007/s10711-022-00709-3]
A Cartan–Hartogs version of the polydisk theorem
Zedda M.
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.File in questo prodotto:
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