Vaisman theorem for lcK spaces

Autor: Preda, Ovidiu, Stanciu, Miron
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 11 pages; v3: Corrected a few mistakes; To be published in Annali della Scuola Normale Superiore di Pisa
Databáze: arXiv