Year: 2023
Type: preprint
Abstract: We prove that a compact Vaisman manifold $(M, J)$ cannot admit some type of special Hermitian metrics, such as special $k$-Gauduchon metrics, $p$-Kähler forms, Hermitian-symplectic or strongly Gauduchon metrics compatible to the same complex structure $J$. In particular, it cannot admit pluriclosed or balanced metrics. We also investigate the interplay between locally conformally symplectic forms taming the complex structure $J$ and special Hermitian structures.
Source: arXiv (Cornell University)
Authors: Angella, Daniele, Otiman, Alexandra
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funders: Aarhus Universitet, Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Aarhus Universitets Forskningsfond, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni
OpenAlex ID: W4379540261