Locally conformally K\"ahler solvmanifolds: a survey
Differential Geometry
2020-04-06 v1
Abstract
A Hermitian structure on a manifold is called locally conformally K\"ahler (LCK) if it locally admits a conformal change which is K\"ahler. 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.
Keywords
Cite
@article{arxiv.1811.09207,
title = {Locally conformally K\"ahler solvmanifolds: a survey},
author = {Adrián Andrada and Marcos Origlia},
journal= {arXiv preprint arXiv:1811.09207},
year = {2020}
}