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Filiform nilsolitons of dimension 8. (English) Zbl 1222.53045

The author classifies Einstein solvmanifolds of dimension \(9\) whose nilradicals are filiform, that is, \(n-1\)-step nilpotent and \(n\)-dimensional.

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C30 Differential geometry of homogeneous manifolds
22E25 Nilpotent and solvable Lie groups