Some Principles for Deforming Nonnegative Curvature
Peter Petersen, Frederick Wilhelm
TL;DR
This paper discusses abstract principles used to deform a specific metric, the Gromoll-Meyer metric, towards achieving positive curvature, contributing to the understanding of geometric deformations.
Contribution
It introduces new abstract principles for deforming nonnegative curvature metrics, specifically applied to the Gromoll-Meyer metric.
Findings
Principles facilitate deformation to positive curvature
Application to Gromoll-Meyer metric demonstrated
Advances understanding of curvature deformation methods
Abstract
We describe a few abstract principles that are used in the deformation of the Gromoll-Meyer metric to positive curvature.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds