SKT structures on nilmanifolds
Differential Geometry
2022-01-31 v1
Abstract
The aim of this article is to study the existence of invariant SKT structures on nilmanifolds. More precisely, we give a negative answer to the question of whether there exist a -step () complex nilmanifold admitting an invariant SKT metric. We also provide a construction which serves as a tool to generate examples of invariant SKT structures on -step nilmanifolds in arbitrary dimensions.
Cite
@article{arxiv.2201.12167,
title = {SKT structures on nilmanifolds},
author = {Romina M. Arroyo and Marina Nicolini},
journal= {arXiv preprint arXiv:2201.12167},
year = {2022}
}
Comments
12 pages