Nilsolitons of H-type in the Lorentzian setting

Abstract

It is known that all left-invariant pseudo-Riemannian metrics on $H_3$ are algebraic Ricci solitons. We consider generalizations of Riemannian $H$-type, namely pseudo$H$-type and $pH$-type. We study algebraic Ricci solitons of left-invariant Lorentzian metrics on 2-step nilpotent Lie groups of both types.

14 pages

References in corpus (3)

• PseudoH-type 2-step nilpotent Lie groups
• Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups
• Algebraic Ricci solitons of four-dimensional pseudo-Riemannian generalized symmetric spaces