On the geometry of some Equivariantly related manifolds

Abstract

We provide a topological procedure to obtain geometric realizations of both classical and `exotic' $G$-manifolds, such as spheres, bundles over spheres and Kervaire manifolds. As an application, we apply the process known as Cheeger deformations to produce new metrics of both positive Ricci and almost non-negative curvature on such objects.

25 pages

References in corpus (2)

• Presentations of the first homotopy groups of the unitary groups
• Wiedersehen metrics and exotic involutions of Euclidean spheres

Cited by in corpus (3)

• Positive Ricci curvature on fiber bundles with compact structure group
• Gromoll--Meyer's actions and the geometry of (exotic) spacetimes
• The concept of Cheeger deformations on fiber bundles with compact structure group