paper

Integrable LCK manifolds

arXiv:2108.00935 · doi:10.1007/s10455-021-09821-1

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 Kähler Lie algebras equipped with suitable derivations.

19 pages