Higher degree Killing forms on step nilmanifolds
arXiv:2002.01208 · doi:10.1016/j.jalgebra.2020.07.020
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.
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