Homogeneous spaces with sections

DOI10.1007/s00229-004-0520-7zbMath1078.53040OpenAlexW2069388708WikidataQ125333208 ScholiaQ125333208MaRDI QIDQ1772012

Andreas Kollross, Evangelia Samiou

Publication date: 14 April 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0520-7

zbMATH Keywords

homogeneous spacesgeodesicssectionslocally symmetric spacesDamek-Ricci spacesgeneralized Heisenberg groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Differential geometry of symmetric spaces (53C35)

Related Items (2)

On homogeneous manifolds whose isotropy actions are polar ⋮ Manifolds with large isotropy groups

Cites Work

• Transformation groups
• Riemannian nilmanifolds attached to Clifford modules
• Homogeneous spaces with polar isotropy
• Flats and symmetry of homogeneous spaces
• Polar Coordinates Induced by Actions of Compact Lie Groups
• A General Theory of Canonical Forms
• The geometry of a semi-direct extension of a Heisenberg type nilpotent group
• The Automorphism Group of a Composition of Quadratic Forms
• Unique decomposition of Riemannian manifolds
• Homogeneous Riemannian manifolds of negative curvature
• Reducible polar representations
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