23 citations · 50 across the 20 of their papers we have counts for
24 papers
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…
Remarks on the relative isoperimetric profile of polygonal domains in
Jason DeVito, Robert DeYeso, Ezra Nance +1
We develop techniques for solving the relative isoperimetric problem on polygonal domains in , with special attention paid to corners. As an application, we solve the…
Almost positively curved generalized Eschenburg spaces
Jason DeVito, Joan West
In each dimension of the form with , we construct infinitely many new examples of manifolds admitting metrics with positive sectional curvature almost everywhere. I…
Cohomogeneity two Bazaikin spaces
Jason DeVito, Rachel Flores
We study the sectional curvature of all of the cohomogeneity two Bazaikin spaces with respect to a Riemannian metric construction due to Wilking. We show that, in contrast to the c…
Positive 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 intermediate Ricci curvature, , on closed manifolds of dimensions 10, 11, 12, 13 and 14, including $\mathbb{S}^6\tim…
Curvature on Eschenburg spaces
Jason DeVito, Peyton Johnson
We investigate the curvature of Eschenburg spaces with respect to two different metrics, one constructed by Eschenburg and the other by Wilking. With respect to the Eschenburg metr…