Hermitian structures on six dimensional nilmanifolds
Differential Geometry
2007-05-23 v1
Abstract
Let (J,g) be a Hermitian structure on a compact nilmanifold M with invariant complex structure J and compatible metric g, which is not required to be invariant. We give classifications of 6-dimensional nilmanifolds M admitting strong K\"ahler with torsion, balanced or locally conformal K\"ahler structures (J,g).
Cite
@article{arxiv.math/0411254,
title = {Hermitian structures on six dimensional nilmanifolds},
author = {Luis Ugarte},
journal= {arXiv preprint arXiv:math/0411254},
year = {2007}
}
Comments
LaTeX, 24 pages, 1 figure