Almost non-negative curvature and rational ellipticity in cohomogeneity two

DOI10.5802/aif.3340zbMath1454.53035OpenAlexW3037885684MaRDI QIDQ2213335

Burkhard Wilking, Joseph Yeager, Karsten Grove

Publication date: 30 November 2020

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.3340

zbMATH Keywords

Morse theoryalmost non-negative curvaturecohomogeneityrational ellipticity

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Compact Lie groups of differentiable transformations (57S15) Global Riemannian geometry, including pinching (53C20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (3)

Halperin’s conjecture in formal dimensions up to 20 ⋮ On the topology of leaves of singular Riemannian foliations ⋮ Rational homotopy via Sullivan models and enriched Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extending tensors on polar manifolds
• Curvature explosion in quotients and applications
• Geometric resolution of singular Riemannian foliations
• Isoparametrische Hyperflächen in Sphären. I
• Nilpotency, almost nonnegative curvature, and the gradient flow on Alexandrov spaces
• Dupin hypersurfaces, group actions and the double mapping cylinder
• Sur les variétés à courbure strictement positive
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Contributions of rational homotopy theory to global problems in geometry
• Metrics of positive Ricci curvature on quotient spaces
• Polar manifolds and actions
• Orbifolds from a metric viewpoint
• How to lift positive Ricci curvature
• Clifford algebras and new singular Riemannian foliations in spheres
• On eta-functions for nilmanifolds
• On contractible orbifolds
• Nilpotent Structures and Invariant Metrics on Collapsed Manifolds
• The depth and LS category of a topological space
• A slice theorem for singular Riemannian foliations, with applications
• Rational L.-S. Category and Its Applications
• Rational Homotopy Theory II
• Almost flat manifolds

This page was built for publication: Almost non-negative curvature and rational ellipticity in cohomogeneity two