Vaisman theorem for lcK spaces
Differential Geometry
2022-06-01 v3 Algebraic Geometry
Complex Variables
Abstract
Vaisman's theorem for locally conformally K\"ahler (lcK) compact manifolds states that any lcK metric on a compact complex manifold which admits a K\"ahler metric is, in fact, globally conformally K\"ahler (gcK). In this paper, we extend this theorem to compact complex spaces with singularities.
Cite
@article{arxiv.2109.01000,
title = {Vaisman theorem for lcK spaces},
author = {Ovidiu Preda and Miron Stanciu},
journal= {arXiv preprint arXiv:2109.01000},
year = {2022}
}
Comments
11 pages; v3: Corrected a few mistakes; To be published in Annali della Scuola Normale Superiore di Pisa