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 (1)

• An exotic sphere with positive sectional curvature

Cited by in corpus (8)

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• Some Principles for Deforming Nonnegative Curvature
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• Topology of non-negatively curved manifolds
• Non-formal Homogeneous Spaces
• Kreck-Stolz invariants for quaternionic line bundles