Einstein solvmanifolds with free nilradical

DOI10.1007/s10455-007-9077-5zbMath1156.53032arXivmath/0610020OpenAlexW2060999681MaRDI QIDQ2475604

Yuri Nikolayevsky

Publication date: 11 March 2008

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610020

zbMATH Keywords

free Lie algebraEinstein nilradical

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (13)

Three-dimensional solvsolitons and the minimality of the corresponding submanifolds ⋮ Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds ⋮ Einstein solvmanifolds attached to two-step nilradicals ⋮ Einstein solvmanifolds with a simple Einstein derivation ⋮ Double extensions on Riemannian Ricci nilsolitons ⋮ On the nonexistence of left-invariant Ricci solitons -- a conjecture and examples ⋮ Einstein solvmanifolds and the pre-Einstein derivation ⋮ Ricci-flat and Einstein Pseudoriemannian nilmanifolds ⋮ The existence of soliton metrics for nilpotent Lie groups ⋮ Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups ⋮ A curve of nilpotent Lie algebras which are not Einstein nilradicals ⋮ The space of solvsolitons in low dimensions ⋮ On the diagonalization of the Ricci flow on Lie groups

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