The Differentiable Sphere Theorem (After S. Brendle and R. Schoen)
From MaRDI portal
Publication:4645256
DOI10.1007/978-3-319-42351-7_1zbMath1406.53040OpenAlexW2512310050MaRDI QIDQ4645256
Publication date: 10 January 2019
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-42351-7_1
Global Riemannian geometry, including pinching (53C20) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classification of manifolds with weakly 1/4-pinched curvatures
- A general convergence result for the Ricci flow in higher dimensions
- Manifolds with nonnegative isotropic curvature
- Ricci deformation of the metric on a Riemannian manifold
- Four-manifolds with positive curvature operator
- Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
- A sharp characterization of the smooth 4-sphere in curvature terms
- Sur les variétés riemanniennes pincées juste au-dessous de 1/4
- Negatively \(1\over 4\)-pinched Riemannian metric on a compact Kähler manifold
- Pointwise 1/4-pinched 4-manifolds
- Metrics with nonnegative isotropic curvature
- Fundamental groups of manifolds with positive isotropic curvature
- Three-manifolds with positive Ricci curvature
- Kähler manifolds and 1/4-pinching
- Manifolds with positive curvature operators are space forms
- Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung
- Ricci flow with surgery on four-manifolds with positive isotropic curvature
- The fundamental group of manifolds of positive isotropic curvature and surface groups
- A contribution to differential geometry in the large
- Einstein manifolds with nonnegative isotropic curvature are locally symmetric
- Manifolds with 1/4-pinched curvature are space forms
- Sur quelques variétés riemanniennes suffisamment pincées
- On the topology of manifolds with positive isotropic curvature
- Classification of almost quarter-pinched manifolds
- A Panoramic View of Riemannian Geometry
- A Compactness Property for Solutions of the Ricci Flow
- Isotropic Curvature and the Ricci Flow
- Four-manifolds with positive isotropic curvature
- Riemannian geometry