Ricci structure and volume growth for left invariant Riemannian metrics on nilpotent and some solvable Lie groups

DOI10.1007/BF01263618zbMath0781.53039MaRDI QIDQ1801610

Ron Karidi

Publication date: 17 February 1994

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

zbMATH Keywords

Ricci curvaturevolume growth

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20)

Related Items

Geometry of balls in nilpotent Lie groups ⋮ The existence of soliton metrics for nilpotent Lie groups

Cites Work

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• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Curvatures of left invariant metrics on Lie groups
• A note on curvature and fundamental group
• Growth of finitely generated solvable groups
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• L'application exponentielle dans les groupes de Lie résolubles
• An exposition of the structure of solvmanifolds. Part I: Algebraic theory