Nilsolitons of H-type in the Lorentzian setting

Click on the URL to access this article (may not be free).It is known that all left-invariant pseudo-Riemannian metrics on the three-dimensional Heisenberg group H-3 are algebraic Ricci solitons. We consider generalizations of Riemannian H-type, namely pseudoH-type and pH-type. We study algebraic Ricci solitons of left-invariant Lorentzian metrics on 2-step nilpotent Lie groups of both types.JSPS Institutional Program for Young Researcher Overseas Visits promoting international young researchers in mathematics and mathematical sciences led by OCAMI