Decomposition of spaces with geodesics contained in compact flats

DOI10.1090/S0002-9939-01-06008-7zbMath0995.53038OpenAlexW1540764101MaRDI QIDQ2750868

Bernardo Molina, Carlos E. Olmos

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06008-7

zbMATH Keywords

holonomyrank rigiditycompact flats

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Related Items (3)

Manifolds with many hyperbolic planes ⋮ Curvature free rigidity for higher rank three-manifolds ⋮ POLAR ACTIONS ON BERGER SPHERES

Cites Work

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• Some examples of higher rank manifolds of nonnegative curvature
• A differential geometric characterization of symmetric spaces of higher rank
• On the transitivity of holonomy systems
• Nonpositively curved manifolds of higher rank
• Bieberbach groups and flat manifolds
• Manifolds of nonpositive curvature and their buildings
• Rank and symmetry of Riemannian manifolds
• Manifolds all of whose flats are closed
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes

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