Invariant and non-invariant almost complex structures on compact quotients of Lie groups
Differential Geometry
2025-11-14 v1
Abstract
In this paper we briefly survey the classical problem of understanding which Lie algebras admit a complex structure, put in the broader perspective of almost complex structures with special properties. We focus on the different behavior of invariant and non-invariant structures, with a special attention to their canonical bundle and Kodaira dimension. We provide new examples of computations of Kodaira dimension of invariant and non-invariant structures.
Keywords
Cite
@article{arxiv.2501.08740,
title = {Invariant and non-invariant almost complex structures on compact quotients of Lie groups},
author = {Lorenzo Sillari and Adriano Tomassini},
journal= {arXiv preprint arXiv:2501.08740},
year = {2025}
}
Comments
13 pages. No figures. Comments are welcome