Some Principles for Deforming Nonnegative Curvature

Abstract

We describe a few abstract principles that are used in the deformation of the Gromoll-Meyer metric to positive curvature.

42 pages. This is part of a revision of the manuscript that describes how to deform the Gromoll-Meyer metric to positive curvature, see arXiv:0805.0812. This paper has been significantly expanded and corrected in a few places

References in corpus (4)

• An exotic sphere with positive sectional curvature
• A positively curved manifold homeomorphic to T${}_1$S${}^4$
• Flats in Riemannian Submersions from Lie Groups
• Lifting Group Actions and Nonnegative Curvature

Cited by in corpus (4)

• Local symmetry rank bound for positive intermediate Ricci curvatures
• Sectional curvature for Riemannian manifolds with density
• Positive intermediate Ricci curvature on products of homogeneous spaces
• Riemannian Submersions Need Not Preserve Positive Ricci Curvature