Classification of Almost Quarter-Pinched Manifolds

Abstract

We show that if a simply connected manifold is almost quarter pinched then it is diffeomorphic to a CROSS (a compact rank one symmetric space) or a sphere.

3 pages, no figures

References in corpus (2)

• An exotic sphere with positive sectional curvature
• Manifolds with 1/4-pinched Curvature are Space Forms

Cited by in corpus (1)

• A note on K$\ddot{a}$hler manifolds with almost nonnegative bisectional curvature