On Ricci negative derivations

DOI10.1515/advgeom-2022-0004zbMath1496.17007arXiv2012.02597OpenAlexW4226265397MaRDI QIDQ2127860

María Valeria Gutiérrez

Publication date: 21 April 2022

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.02597

zbMATH Keywords

filiform Lie algebrasolvable Lie algebranegative Ricci curvatureHeisenberg Lie algebra

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Solvable, nilpotent (super)algebras (17B30)

Related Items (1)

On Ricci Negative Lie Groups

Cites Work

• Invariant convex sets in polar representations
• Negative Ricci curvature on some non-solvable Lie groups
• Negative Ricci curvature on complex simple Lie groups
• Non-solvable Lie groups with negative Ricci curvature
• Negative Ricci curvature on some non-solvable Lie groups II
• On solvable Lie groups of negative Ricci curvature
• A step towards the Alekseevskii conjecture
• Convexity properties of gradient maps
• Solvable extensions of negative Ricci curvature of filiform Lie groups
• On Ricci negative solvmanifolds and their nilradicals
• Stratifications with respect to actions of real reductive groups

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