Integrable LCK manifolds
Differential Geometry
2022-03-18 v1
Abstract
We study a natural class of LCK manifolds that we call integrable LCK manifolds: those where the anti-Lee form corresponds to an integrable distribution. As an application we obtain a characterization of unimodular integrable LCK Lie algebras as K\"ahler Lie algebras equipped with suitable derivations.
Cite
@article{arxiv.2108.00935,
title = {Integrable LCK manifolds},
author = {Beniamino Cappelletti-Montano and Antonio De Nicola and Ivan Yudin},
journal= {arXiv preprint arXiv:2108.00935},
year = {2022}
}
Comments
19 pages