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math.CV2018★ 1 cited
Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds
Alexandra Otiman, Matei Toma
We compute the Dolbeault cohomology of geodesically convex domains contained in Cousin groups which satisfy a strong dispersiveness condition. As a consequence we obtain a descript…
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…