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arXiv · 2511.10122

The polydisk theorem for Hartogs domains over symmetric domains

Andrea Loi·Roberto Mossa·Fabio Zuddas
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Abstract

We extend the polydisk theorem of [21], originally established for classical Cartan-Hartogs domains, to Hartogs domains over arbitrary (possibly reducible and exceptional) bounded symmetric domains. We further establish a dual counterpart of this result. As an application, we show that the dual of a Hartogs domain over a bounded symmetric domain admits no totally geodesic immersion into any compact Riemannian manifold, thereby broadening the rigidity phenomena obtained in [13].

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Andrea Loi, Roberto Mossa, Fabio Zuddas. 2025-11-13. The polydisk theorem for Hartogs domains over symmetric domains. https://arxiv.org/abs/2511.10122

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