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math.DG2020
Existence of Riemannian metrics with positive biorthogonal curvature on simply connected 5-manifolds
Boris Stupovski, Rafael Torres
Using recent work of Bettiol, we show that a first-order conformal deformation of Wilking's metric of almost-positive sectional curvature on yields a family of metr…
math.GT2020
Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds
Rafael Torres
We point out that recent constructions of inequivalent smooth structures yield a manufacturing procedure of infinite sets of pairwise smoothly non-isotopic nullhomologous 2-tori an…