5 papers
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…
Locally conformally Kähler spaces and proper open morphisms
Ovidiu Preda, Miron Stanciu
In this paper, we prove a stability result for the non-Kähler geometry of locally conformally Kähler (lcK) spaces with singularities. Specifically, we find sufficient conditions un…
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…
Locally conformally symplectic reduction
Miron Stanciu
We present a reduction procedure for locally conformally symplectic (LCS) manifolds with an action of a Lie group preserving the conformal structure, with respect to any regular va…