Some examples of higher rank manifolds of nonnegative curvature

DOI10.1007/BF02566609zbMath0713.53029OpenAlexW2102656803MaRDI QIDQ749885

Martin Strake, Ralf J. Spatzier

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/140197

zbMATH Keywords

Riemannian submersionrankcounterexamplesnonnegative sectional curvaturecomplete geodesick-flatsproduct metricTits geometries

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (7)

Positively curved manifolds with large spherical rank ⋮ Three-manifolds with many flat planes ⋮ Hyperbolic rank rigidity for manifolds of -pinched negative curvature ⋮ Complex structures on tangent bundles of Riemannian manifolds ⋮ Decomposition of spaces with geodesics contained in compact flats ⋮ Three-manifolds of constant vector curvature one ⋮ Spherical rank rigidity and Blaschke manifolds

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