Four-dimensional manifolds with positive biorthogonal curvature

Abstract

We classify, up to homeomorphisms, the closed simply-connected 4-manifolds that admit a Riemannian metric for which averages of pairs of sectional curvatures of orthogonal planes are positive.

LaTeX2e, 5 pages. To appear in Asian J. Math

Cited by in corpus (2)

• Four-manifolds with positive curvature
• Harmonic 2-forms and positively curved 4-manifolds