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math.DG2026
Complex Hyperbolic Immersions of Cheng--Yau Metrics on Thullen Domains
Mirel Caibãr, Andrea Loi
For , let \[ M(μ)=\left\{(z,w)\in\mathbb{C}^2 : |z|^2+|w|^{2/μ}<1\right\} \] be the Thullen domain, and let denote its complete Cheng--Yau Kähler--Einstein m…
math.DG2025
The polydisk theorem for Hartogs domains over symmetric domains
Andrea Loi, Roberto Mossa, Fabio Zuddas
We extend the polydisk theorem of [21], originally established for classical Cartan-Hartogs domains, to Hartogs domains over arbitrary (possibly reducible and exceptional) bounded…
math.DG2025
Universal embeddings of flag manifolds and rigidity phenomena
Andrea Loi, Roberto Mossa, Fabio Zuddas
We prove a universal embedding theorem for flag manifolds: every flag manifold admits a holomorphic isometric embedding into an irreducible classical flag manifold. This result gen…