4 papers · 1 filter
Vaisman's theorem and local reducibility
Ovidiu Preda, Miron Stanciu
As proven in a celebrated theorem due to Vaisman, pure locally conformally Kähler metrics do not exist on compact Kähler manifolds. In a previous paper, we extended this result to…
Blow-ups and modifications of lcK spaces
Ovidiu Preda, Miron Stanciu
In this article, we prove that the blow-up of a locally irreducible lcK space along a subspace which verifies certain conditions is lcK if and only if is induced gcK, g…
Coverings of locally conformally Kähler complex spaces
Ovidiu Preda, Miron Stanciu
In this paper, we study the properties of coverings of locally conformally Kähler (LCK) spaces with singularities. We begin by proving that a space is LCK if any only if its univer…
LCK metrics on complex spaces with quotient singularities
George-Ionut Ionita, Ovidiu Preda
In this article we introduce a generalization of locally conformally Kaehler metrics from complex manifolds to complex analytic spaces with singularities and study which properties…