ON RICCI RANK OF CARTAN–HADAMARD MANIFOLDS

DOI10.1142/S0129167X02001459zbMath1055.53022OpenAlexW2001468078MaRDI QIDQ4807412

Dincer Guler, Fang Yang Zheng

Publication date: 18 May 2003

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

Full work available at URL: https://doi.org/10.1142/s0129167x02001459

zbMATH Keywords

sectional curvatureCartan-Hadamard manifoldRicci rankcore number

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (1)

On nonpositively curved compact Riemannian manifolds with degenerate Ricci tensor

Cites Work

• Analytic manifolds of nonpositive curvature with higher rank subspaces
• Codimension one tori in manifolds of nonpositive curvature
• Collapsing Riemannian manifolds while keeping their curvature bounded. I
• Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature
• Tits geometry associated with 4-dimensional closed real-analytic manifolds of nonpositive curvature
• On nonpositively curved Euclidean submanifolds: splitting results
• On submanifolds with nonpositive extrinsic curvature
• Harmonic maps and rigidity theorems for spaces of nonpositive curvature
• Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
• Factorization of semisimple discrete representations of Kähler groups
• On the completeness of nullity foliations
• DEVELOPABLE COMPLEX ANALYTIC SUBMANIFOLDS
• COMPLETE DEVELOPABLE SUBMANIFOLDS IN REAL AND COMPLEX EUCLIDEAN SPACES

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