The Killing–Yano equation on Lie groups

Abstract

In this paper we study 2-forms which are solutions of the Killing–Yano equation on Lie groups endowed with a left invariant metric having various curvature properties. We prove a general result for 2-step nilpotent Lie groups and as a corollary we obtain a nondegenerate solution of the Killing–Yano equation on the Iwasawa manifold with its half-flat metric.