On the geometric rank of homogeneous spaces of nonpositive curvature
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Publication:690212
DOI10.1007/BF01232428zbMath0792.53048MaRDI QIDQ690212
Publication date: 2 August 1994
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/144098
symmetric spacehomogeneous spacealgebraic rankgeometric rankasymptotic geodesicsRank Rigidity TheoremTits pseudometric
Differential geometry of homogeneous manifolds (53C30) Differential geometry of symmetric spaces (53C35)
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Cites Work
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- Isometry groups of simply connected manifolds of nonpositive curvature
- A differential geometric characterization of symmetric spaces of higher rank
- On the transitivity of holonomy systems
- Tits distance of Hadamard manifolds and isoparametric hypersurfaces
- Fundamental groups of manifolds of nonpositive curvature
- Homogeneous Riemannian manifolds and the visibility axiom
- Nonpositively curved manifolds of higher rank
- Structure of manifolds of nonpositive curvature. I
- Manifolds of nonpositive curvature
- Manifolds of nonpositive curvature and their buildings
- Fixed points of isometries at infinity in homogeneous spaces
- Axial isometries of manifolds of non-positive curvature
- Buildings of spherical type and finite BN-pairs
- Nonpositively curved homogeneous spaces of dimension five
- Isometry groups of simply connected manifolds of nonpositive curvature. II
- Homogeneity and bounded isometries in manifolds of negative curvature
- The Rank in Homogeneous Spaces of Nonpositive Curvature
- Existence of flat tori in analytic manifolds of nonpositive curvature
- Homogeneous Manifolds with Negative Curvature. I
- HOMOGENEOUS RIEMANNIAN SPACES OF NEGATIVE CURVATURE