5 papers
Geography of -manifolds with positive scalar curvature
Agnese Mantione, Rafael Torres
We discuss the geography problem of closed oriented 4-manifolds that admit a Riemannian metric of positive scalar curvature, and use it to survey mathematical work employed to addr…
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…
An equivalence between pseudo-holomorphic embeddings into almost-complex Euclidean space and CR regular embeddings into complex space
Rafael Torres
We show that a pseudo-holomorphic embedding of an almost-complex -manifold into almost-complex -Euclidean space exists if and only if there is a CR regular embedding…
Topology change and selection rules for high-dimensional $\Spin(1, n)_0$-Lorentzian cobordisms
Gleb Smirnov, Rafael Torres
We study necessary and sufficient conditions for the existence of Lorentzian and weak Lorentzian cobordisms between closed smooth manifolds of arbitrary dimension such that the str…
Irreducible 4-manifolds with abelian non-cyclic fundamental group of small rank
Rafael Torres
A myriad of irreducible symplectic 4-manifolds with abelian non-cyclic fundamental group is constructed. The botany of manifolds with finite non-cyclic fundamental groups is also s…