David González-Álvaro

activity

20202026

most citedInfinite families of manifolds of positive

k^{th}

-intermediate Ricci curvature with

k

small

2 citations · 2 across the 2 of their papers we have counts for

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math.DG2026

Ricci Flow Preserves Positive Sectional Curvature on Homogeneous Spheres

Jason DeVito, David González-Álvaro, Masoumeh Zarei

We prove that the Ricci flow preserves positive sectional curvature on homogeneous spheres and complex projective spaces. In conjunction with prior results, this completes the clas…

math.DG2024

Positive $Ric_{2}$ curvature on products of spheres and their quotients via intermediate fatness

Jason DeVito, Miguel Domínguez-Vázquez, David González-Álvaro +1

We construct metrics of positive $2^{nd}$ intermediate Ricci curvature, $Ric_{2} > 0$ , on closed manifolds of dimensions 10, 11, 12, 13 and 14, including $\mathbb{S}^6\tim…

math.DG2024

Positive sectional curvature is not preserved under the Ricci flow in dimensions seven and thirteen

David González-Álvaro, Masoumeh Zarei

We prove that there exist $SU_{3}$ -invariant metrics on Aloff-Wallach spaces $W_{k_{1}, k_{2}}^{7}$ , as well as $SU_{5}$ -invariant metrics on the Berger space $B^{13}$ ,…

math.DG2023

Positive intermediate curvatures and Ricci flow

David González-Álvaro, Masoumeh Zarei

We show that, for any $n \geq 2$ , there exists a homogeneous space of dimension $d = 8 n - 4$ with metrics of $Ric_{\frac{d}{2} - 5} > 0$ if $n \neq = 3$ and $Ric_{6} > 0$ if $n=3…

math.DG2020★ 2 cited

Infinite families of manifolds of positive $k^{th}$ -intermediate Ricci curvature with $k$ small

Miguel Domínguez-Vázquez, David González-Álvaro, Lawrence Mouillé

Positive $k^{th}$ -intermediate Ricci curvature on a Riemannian $n$ -manifold, to be denoted by $Ric_{k} > 0$ , is a condition that interpolates between positive sectional…

Ricci Flow Preserves Positive Sectional Curvature on Homogeneous Spheres

Positive Ric2​ curvature on products of spheres and their quotients via intermediate fatness

Positive sectional curvature is not preserved under the Ricci flow in dimensions seven and thirteen

Positive intermediate curvatures and Ricci flow

Infinite families of manifolds of positive kth-intermediate Ricci curvature with k small

Positive $Ric_{2}$ curvature on products of spheres and their quotients via intermediate fatness

Infinite families of manifolds of positive $k^{th}$ -intermediate Ricci curvature with $k$ small