Geometric vector fields on Lie groups

DOI10.1016/S0926-2245(96)00049-6zbMath0930.53025WikidataQ115337592 ScholiaQ115337592MaRDI QIDQ1385075

Gerard Walschap

Publication date: 15 February 2000

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupnon-negative Ricci curvaturehomogeneous foliationleft invariant foliation

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

Related Items (4)

Some geometric vector fields on 5-dimensional 2-step homogeneous nilmanifolds ⋮ One-dimensional metric foliations on compact Lie groups ⋮ Cut and conjugate loci in two-step nilpotent Lie groups ⋮ Metric foliations of homogeneous three-spheres

Cites Work

• Unnamed Item
• Negative Ricci curvature on complex simple Lie groups
• Comparison theorems and hypersurfaces
• A geometric property of central elements
• Riemannian foliations on manifolds with non-negative curvature
• Curvatures of left invariant metrics on Lie groups
• The low-dimensional metric foliations of Euclidean spheres
• On homogeneous manifolds of negative curvature
• The fundamental equations of a submersion
• Metric foliations and curvature
• Minimal foliations on Lie groups

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