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Rank rigidity, cones, and curvature-homogeneous Hadamard manifolds

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Publication:696161
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zbMATH Open1010.53034MaRDI QIDQ696161

Evangelia Samiou, Jürgen Berndt

Publication date: 2002

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)




zbMATH Keywords

Riemannian manifoldcompact Riemannian manifoldsgeodesiccurvature homogeneous semisymmetric spacesinfinitesimal ranklocally irreduciblerank rigidity conjecture


Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)



Related Items (5)

Hyperbolic rank rigidity for manifolds of -pinched negative curvature ⋮ Higher rank rigidity for Berwald spaces ⋮ Large-scale rank and rigidity of the Weil-Petersson metric ⋮ The hyperbolic rank of homogeneous Hadamard manifolds ⋮ The Rank in Homogeneous Spaces of Nonpositive Curvature






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