Published Paper
Inserted: 5 dec 2018
Last Updated: 3 sep 2019
Journal: Complex Manifolds
Volume: 6
Number: 1
Pages: 170-193
Year: 2019
Doi: 10.1515/coma-2019-0010
Abstract:
This is partly an expository paper, where the authors' work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group. Classifications of special classes of Ricci-flat metrics on nilpotent Lie groups of dimension $\leq8$ are obtained. Some related open questions are presented.