Asian Journal of Mathematics
Volume 21 (2017)
Four-dimensional manifolds with positive biorthogonal curvature
Pages: 391 – 396
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.
positive curvature, $4$-manifolds, biorthogonal curvature, scalar curvature, Ricci curvature
2010 Mathematics Subject Classification
53C20, 53C21, 57M50, 57N13, 57R57
The author was partially supported by the NSF grant DMS-1209387, USA.
Received 28 June 2015
Published 5 July 2017