A positively curved manifold homeomorphic to T${}_1$S${}^4$

Abstract

We construct a new 7-dimensional manifold with positive sectional curvature which is 2-connected with π_3=\Z_2 and admits an isometric group action with one dimensional quotient.

A few minor changes. To appear in GAFA

References in corpus (2)

• An exotic sphere with positive sectional curvature
• The classification of highly connected manifolds in dimensions 7 and 15

Cited by in corpus (8)

• Developments around positive sectional curvature
• Some Principles for Deforming Nonnegative Curvature
• On the homology of low dimensional cohomogeneity one manifolds
• Diffeomorphism type of 6-dimensional cohomogeneity one manifolds
• Topology of positively curved 8-dimensional manifolds with symmetry
• Topology of non-negatively curved manifolds
• Non-formal Homogeneous Spaces
• Kreck-Stolz invariants for quaternionic line bundles