We study a natural class of LCK manifolds that we call integrable LCK manifolds: those where the anti-Lee form η 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.
Integrable LCK manifolds
Cappelletti Montano Beniamino.;
2022-01-01
Abstract
We study a natural class of LCK manifolds that we call integrable LCK manifolds: those where the anti-Lee form η 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.
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