Ricci-flat and Einstein pseudoriemannian nilmanifolds

Diego Conti, Federico A. Rossi

Type: Article

Publication Date: 2019-01-01

Citations: 10

DOI: https://doi.org/10.1515/coma-2019-0010

Abstract

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

Locations

Complex Manifolds - View - PDF
arXiv (Cornell University) - View - PDF
BOA (University of Milano-Bicocca) - View - PDF
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