A. Otiman

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math.DG2025

Calabi-Yau locally conformally Kähler manifolds

Giuseppe Barbaro, Alexandra Otiman

We study compact locally conformally Kähler (lcK) manifolds which are Calabi--Yau, in the sense that $c_{1}^{B C} (X) = 0$ . First of all, we prove that all the known lcK manifolds which…

math.DG2025

On some properties of Hopf manifolds

Nicolina Istrati, Alexandra Otiman

We review old and new properties of Hopf manifolds from the point of view of their analytic and metric structure.

math.DG2018

A characterization of compact locally conformally hyperkähler manifolds

Liviu Ornea, Alexandra Otiman

We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of the existence of a nondegenerate complex two-form with natural properties. This is…