Conformal Killing forms on 2-step nilpotent Riemannian Lie groups

Abstract We study left-invariant conformal Killing 2- or 3-forms on simply connected 2-step nilpotent Riemannian Lie groups. show that if the center of group is dimension greater than equal to 4, then every such form automatically coclosed (i.e. it a form). In addition, we prove only groups with at most 3 and admitting non-coclosed are following: The Heisenberg their trivial 1-dimensional extensions, endowed any metric, corresponding free algebra generators, particular 1-parameter family metrics. explicit description space provided in each case.