On the diagonalization of the Ricci flow on Lie groups

DOI10.1090/S0002-9939-2013-11813-7zbMath1279.53065arXiv1110.4003OpenAlexW2084844084WikidataQ115289249 ScholiaQ115289249MaRDI QIDQ2845440

Cynthia E. Will, Jorge Lauret

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4003

zbMATH Keywords

Lie groupsRicci tensorleft-invariant metricsstructural constants

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (18)

Einstein nilpotent Lie groups ⋮ Milnor-type theorems for left-invariant Riemannian metrics on Lie groups ⋮ On Ricci Negative Lie Groups ⋮ On algebraic solitons for geometric evolution equations on three-dimensional Lie groups ⋮ Solvable Lie algebras and graphs ⋮ Unnamed Item ⋮ On distinguished orbits of reductive representations ⋮ On homogeneous closed gradient Laplacian solitons ⋮ Harmonic 3-forms on compact homogeneous spaces ⋮ Ricci flow of homogeneous manifolds ⋮ Classification of nilsoliton metrics in dimension seven ⋮ Construction of nice nilpotent Lie groups ⋮ Negative Ricci curvature on some non-solvable Lie groups ⋮ Indefinite Einstein metrics on nice Lie groups ⋮ Diagram involutions and homogeneous Ricci-flat metrics ⋮ Diagonalizing the Ricci tensor ⋮ Negative Ricci curvature on some non-solvable Lie groups II ⋮ Nice pseudo-Riemannian nilsolitons

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