Strongly solvable spaces

DOI10.1215/00127094-2861277zbMath1323.53049arXiv1304.5660OpenAlexW2032466788MaRDI QIDQ2263803

Michael Jablonski

Publication date: 19 March 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5660

zbMATH Keywords

isometry groupssolvmanifoldssolvable Lie groupsAlekseevsky conjecture

Mathematics Subject Classification ID

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

Related Items (11)

Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds ⋮ A step towards the Alekseevskii conjecture ⋮ Non-compact Einstein manifolds with symmetry ⋮ Conformal vector fields on Lie groups: the trans-Lorentzian signature ⋮ Homogeneous Ricci solitons are algebraic ⋮ The Alekseevskii conjecture in 9 and 10 dimensions ⋮ Maximal symmetry and unimodular solvmanifolds ⋮ On the nonexistence of left-invariant Ricci solitons -- a conjecture and examples ⋮ The Alekseevskii conjecture in low dimensions ⋮ Isometries of nilpotent metric groups ⋮ The Ricci flow on solvmanifolds of real type

Cites Work

• Unnamed Item
• Unnamed Item
• Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups
• Einstein solvmanifolds are standard
• Compact quotients of homogeneous negatively curved Riemannian manifolds
• Riemannian isometry groups containing transitive reductive subgroups
• Noncompact homogeneous Einstein spaces
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Isometry groups of homogeneous quaternionic Kähler manifolds
• On homogeneous manifolds of negative curvature
• ON HOMOGENEOUS RICCI SOLITONS
• Fully Reducible Subgroups of Algebraic Groups
• Isometry Groups of Riemannian Solvmanifolds
• Minimum Vectors for Real Reductive Algebraic Groups

This page was built for publication: Strongly solvable spaces