Locally conformally K\"ahler structures on four-dimensional solvable Lie algebras
Differential Geometry
2019-12-23 v3
Abstract
We classify and investigate locally conformally K\"ahler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma manifolds, and we also give a geometric interpretation of some of the -dimensional structures in our classification.
Keywords
Cite
@article{arxiv.1809.08149,
title = {Locally conformally K\"ahler structures on four-dimensional solvable Lie algebras},
author = {Daniele Angella and Marcos Origlia},
journal= {arXiv preprint arXiv:1809.08149},
year = {2019}
}
Comments
Minor modifications added to the second version. To appear in Complex Manifolds