23 citations · 50 across the 20 of their papers we have counts for
22 papers · 1 filter
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…
Counterexamples to the non-simply connected Double Soul Conjecture
Jason DeVito
A double disk bundle is any smooth closed manifold obtained as the union of the total spaces of two disk bundles, glued together along their common boundary. The Double Soul Conjec…
Examples of biquotients whose tangent bundle is not a biquotient vector bundle
Michael Albanese, Jason DeVito, David González-Álvaro
A biquotient vector bundle is any vector bundle over a biquotient of the form for an -representation . Over most biquotients, biquotient vector bu…
Cohomogeneity one manifolds with singly generated rational cohomology II
Jason DeVito
We classify cohomogeneity one actions on smooth, simply connected, closed manifolds with the rational cohomology of a sphere. In particular, we show that such a manifold is diffeom…
Quasi-positive curvature on Bazaikin spaces
Jason DeVito, Evan Sherman
We completely characterize the sectional curvature of all of the -dimensional Bazaikin spaces. In particular, we show that all Bazaikin spaces admit a quasi-positively curved R…
Biquotient vector bundles with no inverse
Jason DeVito, David González-Álvaro
In previous work, the second author and others have found conditions on a homogeneous space which imply that, up to stabilization, all vector bundles over admit Riemann…
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^…
Manifolds that admit a double disk-bundle decomposition
Jason DeVito, Fernando Galaz-Garcia, Martin Kerin
Under mild topological restrictions, this article establishes that a smooth, closed, simply connected manifold of dimension at most seven which can be decomposed as the union of tw…
Cohomogeneity one manifolds with singly generated rational cohomology
Jason DeVito, Lee Kennard
We classify simply connected, closed cohomogeneity one manifolds with singly generated or 4-periodic rational cohomology and positive Euler characteristic.
Almost positive curvature on an irreducible compact rank 2 symmetric space
Jason DeVito, Ezra Nance
A Riemannian manifold is said to be almost positively curved if the sets of points for which all -planes have positive sectional curvature is open and dense. We show that the Gr…
Quasi-positive curvature on a biquotient of
Jason DeVito, Wesley Martin
Suppose denotes the unique irreducible -dimensional representation of and consider the two subgroups with…
Rationally -periodic biquotients
Jason DeVito
An -dimensional manifold is said to be rationally -periodic if there is an element with the property that cupping with , $\cdot \cup e:H^\ast(…
The classification of biquotients of rank Lie groups
Jason DeVito, Robert L. DeYeso
We classify all compact simply connected biquotients of the form for , or . In particular, we show there a…
Three new almost positively curved manifolds
Jason DeVito
A Riemannian manifold is called almost positively curved if the set of points for which all -planes have positive sectional curvature is open and dense. We find three new exampl…
The classification and curvature of biquotients of the form
Jason DeVito, Robert DeYeso, Michael Ruddy +1
We show there are precisely 15 inhomogeneous biquotients of the form and show that at least 8 of them admit metrics of quasi-positive curvature.
The classification of compact simply connected biquotients in dimension 6 and 7
Jason DeVito
We classify all compact simply connected biquotients of dimension 6 and 7. For each -dimensional biquotient, all pairs of groups and homomorphisms $H\rightarrow G\times…
The classification of compact simply connected biquotients in dimension 4 and 5
Jason DeVito
We classify all compact simply connected biquotients of dimension 4 and 5. In particular, all pairs of groups and embeddings giving rise to a parti…