Nilsolitons of H-type in the Lorentzian setting

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Issue Date
2015
Authors
Onda, Kensuke
Advisor
Citation

Onda, Kensuke; Parker, Phillip E. 2015. Nilsolitons of H-type in the Lorentzian setting. Houston Journal of Mathematics, vol. 41:no. 4:pp 1137-1151

Abstract

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.

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