Rafael Torres

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20092021

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math.DG2021

Geography of $4$ -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…

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 $S^{2} \times S^{3}$ yields a family of metr…

math.DG2018

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 $2 n$ -manifold into almost-complex $(2 n + 2)$ -Euclidean space exists if and only if there is a CR regular embedding…

Geography of 4-manifolds with positive scalar curvature

Existence of Riemannian metrics with positive biorthogonal curvature on simply connected 5-manifolds

An equivalence between pseudo-holomorphic embeddings into almost-complex Euclidean space and CR regular embeddings into complex space

Geography of $4$ -manifolds with positive scalar curvature