Higher degree Killing forms on $2-$step nilmanifolds
Differential Geometry
2021-06-15 v3 Rings and Algebras
Abstract
We study left-invariant Killing forms of arbitrary degree on simply connected step nilpotent Lie groups endowed with left-invariant Riemannian metrics, and classify them when the center of the group is at most two-dimensional.
Keywords
Cite
@article{arxiv.2002.01208,
title = {Higher degree Killing forms on $2-$step nilmanifolds},
author = {Viviana del Barco and Andrei Moroianu},
journal= {arXiv preprint arXiv:2002.01208},
year = {2021}
}
Comments
22 pages. v3: the proof of Proposition 3.2. has been modified; the one in the previous version was only valid for unimodular Lie groups