Strongly nonnegative curvature

DOI10.1007/s00208-016-1457-3zbMath1377.53020arXiv1511.07899OpenAlexW3100017953WikidataQ59528209 ScholiaQ59528209MaRDI QIDQ2402830

Renato G. Bettiol, Ricardo A. E. Mendes

Publication date: 15 September 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07899

zbMATH Keywords

non-negative sectional curvaturesoulrank-1 symmetric spacestrongly non-negative curvature

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Related Items

Sectional curvature and Weitzenbock formulae ⋮ Strongly positive curvature ⋮ Flag manifolds with strongly positive curvature ⋮ Convex Algebraic Geometry of Curvature Operators ⋮ Ricci flow does not preserve positive sectional curvature in dimension four

Cites Work

• Unnamed Item
• Unnamed Item
• Nonnegative curvature on stable bundles over compact rank one symmetric spaces
• Classification of cohomogeneity one manifolds in low dimensions
• 4-dimensional G-manifolds with 3-dimensional orbits
• Geodesic spheres as generators of the homotopy groups of O,BO
• Proof of the soul conjecture of Cheeger and Gromoll
• Curvature and symmetry of Milnor spheres
• Cheeger manifolds and the classification of biquotients.
• Some examples of manifolds of nonnegative curvature
• Highly connected \(7\)-manifolds and non-negative sectional curvature
• Manifolds with positive curvature operators are space forms
• Positively curved cohomogeneity one manifolds and 3-Sasakian geometry
• Einstein manifolds
• Flag manifolds with strongly positive curvature
• On the structure of complete manifolds of nonnegative curvature
• Lifting group actions and nonnegative curvature
• Nonnegatively and Positively curved manifolds
• Improving the metric in an open manifold with nonnegative curvature
• The metric projection onto the soul
• Lie Groups and Geometric Aspects of Isometric Actions