Rank and symmetry of Riemannian manifolds

DOI10.1007/BF02564499zbMath0822.53032OpenAlexW2057670709WikidataQ115392056 ScholiaQ115392056MaRDI QIDQ1343329

Jost-Hinrich Eschenburg, Carlos E. Olmos

Publication date: 5 October 1995

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140350

zbMATH Keywords

geodesicsisometry grouplocally symmetric spaces\(k\)-flatrank of Riemannian manifolds

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (8)

Three-manifolds with many flat planes ⋮ The distribution of symmetry of a naturally reductive nilpotent Lie group ⋮ Small eigenvalues and thick-thin decomposition in negative curvature ⋮ On the nullity distribution of a submanifold of a space form ⋮ Compact homogeneous Riemannian manifolds with low coindex of symmetry ⋮ Decomposition of spaces with geodesics contained in compact flats ⋮ The index of symmetry of compact naturally reductive spaces ⋮ The skew-torsion holonomy theorem and naturally reductive spaces

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