Differenzierbare Strukturen und Metriken positiver Krümmung auf Sphären

DOI10.1007/BF01350046zbMath0135.40301MaRDI QIDQ2521164

Detlef Gromoll

Publication date: 1966

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

Full work available at URL: https://eudml.org/doc/161412

zbMATH Keywords

Riemannian manifolds

Related Items (27)

The differentiable sphere theorem for manifolds with positive Ricci curvature ⋮ On negatively curved bundles with hyperbolic fibers outside the Igusa stable range ⋮ Gromoll groups, ${\text{Diff}}\,S^n$ and bilinear constructions of exotic spheres ⋮ The Teichmüller space of pinched negatively curved metrics on a hyperbolic manifold is not contractible ⋮ Unnamed Item ⋮ Symplectomorphisms of exotic discs ⋮ Curvature and differentiable structure on spheres ⋮ The Gromoll filtration, \(KO\)-characteristic classes and metrics of positive scalar curvature ⋮ Concordance-homotopy groups and the nonfinite type of some ${\text{Diff}}_0 M^n$ ⋮ Concordance-homotopy groups and the nonfinite type of some ${\text{Diff}}_0 M^n$ ⋮ The derivative map for diffeomorphism of disks: an example ⋮ Standard special generic maps of homotopy spheres into Euclidean spaces ⋮ Structure theory and convergence in Riemannian geometry ⋮ The differentiable pinching problem and the diffeotopy theorem ⋮ CONNECTIONS AND GENERALIZED GAUGE TRANSFORMATIONS ⋮ Distance Spheres in Complex Projective Spaces ⋮ A remark on pinched manifolds with boundary ⋮ Krümmung und differenzierbare Struktur auf Sphären. II ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ Unnamed Item ⋮ Manifolds with 1/4-pinched curvature are space forms ⋮ Anwendungen der Alexandrowschen Winkelvergleichssätze ⋮ On the differentiable pinching problem ⋮ Group actions and curvature ⋮ Das Pinchingproblem in fastriemannschen Finslerschen Mannigfaltigkeiten ⋮ On the differentiable pinching problem. Improved by H. Karcher ⋮ The geometry of $G$-structures

Cites Work

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• Generalized Poincaré's conjecture in dimensions greater than four
• Differentiable isotopies on the 2-sphere
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• Contributions to riemannian geometry in the large
• Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung
• Groups of homotopy spheres. I
• Quelques propriétés globales des espaces de Riemann
• A contribution to differential geometry in the large
• Differentiable Structures on Spheres
• Riemannian spaces having their curvature bounded below by a positive number
• Krümmungsgrößen gleichungsdefinierter Untermannigfaltigkeiten R<scp>IEMANN</scp>scher Mannigfaltigkeiten
• Diffeomorphisms of the 2-Sphere
• Obstructions to the smoothing of piecewise-differentiable homeomorphisms

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