A note on Canonical Ricci forms on 2-step nilmanifolds
Differential Geometry
2014-05-26 v4
Abstract
In this note we prove that any left-invariant almost Hermitian structure on a 2-step nilmanifold is Ricci-flat with respect to the Chern connection and that it is Ricci-flat with respect to another canonical connection if and only if it is cosymplectic.
Cite
@article{arxiv.1202.6227,
title = {A note on Canonical Ricci forms on 2-step nilmanifolds},
author = {Luigi Vezzoni},
journal= {arXiv preprint arXiv:1202.6227},
year = {2014}
}
Comments
7 pages. Typos corrected. To appear in Proc. of the AMS