Locally conformally K?hler solvmanifolds: a survey : Complex Manifolds

摘要

A Hermitian structure on a manifold is called locally conformally K?hler (LCK) if it locally admits a conformal change which is K?hler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results regarding the canonical bundle of solvmanifolds equipped with a Vaisman structure, that is, a LCK structure whose associated Lee form is parallel.