Einstein solvmanifolds and nilsolitons - Mathematics > Differential GeometryReport as inadecuate




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Abstract: The purpose of the present expository paper is to give an account of therecent progress and present status of the classification of solvable Lie groupsadmitting an Einstein left invariant Riemannian metric, the only known examplesso far of noncompact Einstein homogeneous manifolds. The problem turns to beequivalent to the classification of Ricci soliton left invariant metrics onnilpotent Lie groups.



Author: Jorge Lauret

Source: https://arxiv.org/







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