The Space of Left-Invariant Riemannian Metrics

DOI10.1007/978-4-431-56021-0_17zbMath1352.58002OpenAlexW2486478403MaRDI QIDQ2819656

Hiroshi Tamaru

Publication date: 29 September 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-56021-0_17

zbMATH Keywords

Lie groupsEinstein metricsleft invariant metricsMilnor framesalgebraic Ricci solitonsdistinguished left-invariant metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25) General properties and structure of real Lie groups (22E15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Manifolds of metrics (especially Riemannian) (58D17)

Cites Work

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• Ricci soliton homogeneous nilmanifolds

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