@article {stupovski2020existence,
	title = {Existence of Riemannian metrics with positive biorthogonal curvature on simply connected 5-manifolds},
	journal = {Archiv der Mathematik},
	year = {2020},
	pages = {1{\textendash}9},
	publisher = {Springer},
	abstract = {<p>Using the recent work of Bettiol, we show that a first-order conformal deformation of Wilking{\textquoteright}s metric of almost-positive sectional curvature on $S2\times S3$ yields a family of metrics with strictly positive average of sectional curvatures of any pair of 2-planes that are separated by a minimal distance in the 2-Grassmanian. A result of Smale allows us to conclude that every closed simply connected 5-manifold with torsion-free homology and trivial second Stiefel{\textendash}Whitney class admits a Riemannian metric with a strictly positive average of sectional curvatures of any pair of orthogonal 2-planes.</p>},
	doi = {10.1007/s00013-020-01511-x},
	url = {https://dx.doi.org/10.1007/s00013-020-01511-x},
	author = {Boris Stupovski and Rafael Torres}
}
