Ricci-flat and Einstein pseudoriemannian nilmanifolds

Author:

Conti Diego1,Rossi Federico A.1

Affiliation:

1. Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, via Cozzi 55, 20125Milano, Italy

Abstract

AbstractThis 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-˛at metrics on nilpotent Lie groups of dimension [eight.tf] are obtained. Some related open questions are presented.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

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