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arXiv · 2108.00199

A Cartan-Hartogs version of the Polydisk Theorem

Roberto Mossa·Michela Zedda
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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.

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Roberto Mossa, Michela Zedda. 2021-07-31. A Cartan-Hartogs version of the Polydisk Theorem. https://doi.org/10.1007/s10711-022-00709-3

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