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math.DG2026
Projectively induced Kähler--Einstein surfaces
Andrea Loi, Mirel Caibăr
We classify compact Kähler--Einstein surfaces whose metric is induced by a holomorphic isometric immersion into a finite-dimensional complex projective space. No symmetry assumptio…
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…