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Negative Ricci curvature on complex simple Lie groups

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Publication:799952
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zbMath0549.53049MaRDI QIDQ799952

Maria Luiza Leite, Isabel Dotti de Miatello, Roberto J. Miatello

Publication date: 1984

Published in: Geometriae Dedicata (Search for Journal in Brave)


zbMATH Keywords

Ricci curvaturesimple Lie groupsleft invariant metricsunimodular Lie group


Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Compact Lie groups of differentiable transformations (57S15) Semisimple Lie groups and their representations (22E46)


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Non-solvable Lie groups with negative Ricci curvature ⋮ On Ricci negative derivations ⋮ On Ricci Negative Lie Groups ⋮ Geometric vector fields on Lie groups ⋮ Non-compact Einstein manifolds with symmetry ⋮ On the signature of the Ricci curvature on nilmanifolds ⋮ Negative Ricci curvature on some non-solvable Lie groups ⋮ A canonical compatible metric for geometric structures on nilmanifolds ⋮ Solvable extensions of negative Ricci curvature of filiform Lie groups ⋮ Negative Ricci curvature on some non-solvable Lie groups II ⋮ On solvable Lie groups of negative Ricci curvature



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