David González-Álvaro

collaborators

4 papers

math.DG2026

Ricci Flow Preserves Positive Sectional Curvature on Homogeneous Spheres

Jason DeVito, David GonzÃ¡lez-Ãlvaro, 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.DG2025

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

David GonzÃ¡lez-Ãlvaro, 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.DG2025

Positive intermediate curvatures and Ricci flow

David GonzÃ¡lez-Ãlvaro, 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.DG2025

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

Jason DeVito, Miguel DomÃnguez-VÃ¡zquez, David GonzÃ¡lez-Ãlvaro +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…

Ricci Flow Preserves Positive Sectional Curvature on Homogeneous Spheres

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

Positive intermediate curvatures and Ricci flow

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

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