7 papers
Ricci Flow Preserves Positive Sectional Curvature on Homogeneous Spheres
Jason DeVito, David González-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…
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…
Rational spheres and double disk bundles
Jason DeVito, Martin Kerin
A manifold is said to be a double disk bundle if it can be decomposed as a union of two disk bundles glued together by a diffeomorphism of their boundaries. We show that if $M^…
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…
Examples of biquotients whose tangent bundle is not a biquotient vector bundle
Michael Albanese, Jason DeVito, David González-Ãlvaro
A biquotient vector bundle is any vector bundle over a biquotient of the form for an -representation . Over most biquotients, biquotient vector bu…
Positive curvature on products of spheres and their quotients via intermediate fatness
Jason DeVito, Miguel DomÃnguez-Vázquez, David González-Ãlvaro +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…