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-Combining ogonekat metrics on nilpotent Lie groups of dimension [eight.tf] are obtained. Some related open questions are presented
Conti, D., Rossi, F. (2019). Ricci-flat and Einstein pseudoriemannian nilmanifolds. COMPLEX MANIFOLDS, 6(1), 170-193 [10.1515/coma-2019-0010].
Ricci-flat and Einstein pseudoriemannian nilmanifolds
Conti, D
;Rossi, FA
2019
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-Combining ogonekat metrics on nilpotent Lie groups of dimension [eight.tf] are obtained. Some related open questions are presented
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