Ricci-flat and Einstein pseudoriemannian nilmanifolds
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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.
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2007 ◽
Vol 18
(07)
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pp. 783-795
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2016 ◽
Vol 2016
(718)
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2010 ◽
Vol 88
(1)
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pp. 1-17
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2012 ◽
Vol 33
(6)
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pp. 1864-1875
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2012 ◽
Vol 33
(6)
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pp. 1667-1708
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