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.
Reviewer: Roman Urban (Wrocław)
MSC:
53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
53C30 | Differential geometry of homogeneous manifolds |
22E25 | Nilpotent and solvable Lie groups |