Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892691 | Journal of Geometry and Physics | 2015 | 10 Pages |
Abstract
We search for invariant solutions of the conformal Killing–Yano equation on Lie groups equipped with left invariant Riemannian metrics, focusing on 2-forms. We show that when the Lie group is compact equipped with a bi-invariant metric or 2-step nilpotent, the only invariant solutions occur on the 3-dimensional sphere or on a Heisenberg group. We classify the 3-dimensional Lie groups with left invariant metrics carrying invariant conformal Killing–Yano 2-forms.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A. Andrada, M.L. Barberis, I.G. Dotti,