# Ricci-flat and Einstein pseudoriemannian nilmanifolds

created by rossi on 05 Dec 2018

[BibTeX]

preprint

Inserted: 5 dec 2018
Last Updated: 5 dec 2018

Year: 2018

ArXiv: 1812.01310 PDF

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.

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