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 5 of their papers we have counts for

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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 $B^{13}$ ,…

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