Nilsolitons of H-type in the Lorentzian setting

Kensuke Onda; Phillip E. Parker

Nilsolitons of H-type in the Lorentzian setting

Differential Geometry 2012-06-01 v2

Authors: Kensuke Onda , Phillip E. Parker

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.

Keywords

nilsoliton H-type Lorentzian metric algebraic Ricci soliton 2-step nilpotent Lie group pseudo-Riemannian metric

Cite

@article{arxiv.1205.6109,
  title  = {Nilsolitons of H-type in the Lorentzian setting},
  author = {Kensuke Onda and Phillip E. Parker},
  journal= {arXiv preprint arXiv:1205.6109},
  year   = {2012}
}

Comments

14 pages

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