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math.DG2025
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…
math.DG2025
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…