Cut and conjugate loci in two-step nilpotent Lie groups

DOI10.1007/BF02921727zbMath0936.53026WikidataQ115391191 ScholiaQ115391191MaRDI QIDQ1272844

Gerard Walschap

Publication date: 9 March 1999

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupRiemannian foliationinjectivity radiusconjugate pointleft invariant metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Nilpotent and solvable Lie groups (22E25) Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

Related Items (4)

On sub-Riemannian and Riemannian structures on the Heisenberg groups ⋮ Length minimizing geodesics and the length spectrum of Riemannian two-step nilmanifolds ⋮ The minimal marked length spectrum of Riemannian two-step nilmanifolds ⋮ The conjugate locus of a Riemannian manifold

Cites Work

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• Riemannian nilmanifolds attached to Clifford modules
• Geometric vector fields on Lie groups
• The low-dimensional metric foliations of Euclidean spheres
• The fundamental equations of a submersion
• On the Geometry of Groups of Heisenberg Type
• Foliations of Symmetric Spaces
• Geometry of 2-Step Nilpotent Groups with a Left Invariant Metric. II
• Geometry of $2$-step nilpotent groups with a left invariant metric
• Smoothly closed geodesics on 2-step nilmanifolds

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