Conformal Killing-Yano 2-forms

ADRIÁN ANDRADA, MARÍA LAURA BARBERIS, ISABEL DOTTI

Córdoba

Congreso; IV Congreso Latinoamericano de Matemáticos; 2012

Universidad Nacional de Córdoba

In this work we study unimodular Lie groups equipped with left-invariant Riemannian metrics that admit left-invariant conformal Killing-Yano tensors. In particular, we show that if a nilpotent Lie group admits a strict conformal Killing-Yano tensor, then the group is isomorphic to the Heisenberg group H_{2n+1}. Moreover, we show that a left-invariant metric g on SU(2) admits such tensors if and only if g is homothetic to a Berger metric on the sphere S^3.