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Einstein solvmanifolds and nilsolitons

open access: yes, 2008
The purpose of the present expository paper is to give an account of the recent progress and present status of the classification of solvable Lie groups admitting an Einstein left invariant Riemannian metric, the only known examples so far of noncompact Einstein homogeneous manifolds.
openaire   +2 more sources

Einstein solvmanifolds and graphs

open access: yesComptes Rendus. Mathématique, 2006
In this Note, we obtain Einstein solvmanifolds using Abelian extension of two-step nilpotent Lie algebras associated with graphs.
openaire   +2 more sources

Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds [PDF]

open access: green, 2022
Diego Conti   +2 more
openalex   +1 more source

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