A differential geometric characterization of symmetric spaces of higher rank
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Publication:756163
DOI10.1007/BF02699876zbMath0722.53041WikidataQ115391866 ScholiaQ115391866MaRDI QIDQ756163
Publication date: 1990
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PMIHES_1990__71__33_0
Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Differential geometry of symmetric spaces (53C35)
Related Items
Positively curved manifolds with large spherical rank, Orbihedra of nonpositive curvature, Three-manifolds with many flat planes, Hyperbolic rank rigidity for manifolds of -pinched negative curvature, \(\mathrm{CAT}(0)\) spaces of higher rank. I, CAT(0) spaces of higher rank. II, The stretch of a foliation and geometric superrigidity, The higher rank rigidity theorem for manifolds with no focal points, Decomposition of spaces with geodesics contained in compact flats, On the geometric rank of homogeneous spaces of nonpositive curvature, Rank rigidity for foliations by manifolds of nonpositive curvature, Curvature free rigidity for higher rank three-manifolds, Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometric.
Cites Work
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- Geodesic flows on negatively curved manifolds. I
- Visibility manifolds
- Rigidity of lattices of non-positive curvature
- Manifolds of Negative Curvature
