1 citations · 1 across the 4 of their papers we have counts for
8 papers
Odd-dimensional GKM-manifolds of non-negative curvature
Christine Escher, Oliver Goertsches, Catherine Searle
We prove for closed, odd-dimensional GKM manifolds of non-negative sectional curvature that both the equivariant and the ordinary rational cohomology split off the cohomology o…
Almost non-negatively curved 4-manifolds with torus symmetry
John Harvey, Catherine Searle
We prove that if a closed, smooth, simply-connected 4-manifold with a circle action admits an almost non-negatively curved sequence of invariant Riemannian metrics, then it also ad…
Alexandrov Spaces with Integral Current Structure
Maree Jaramillo, Raquel Perales, Priyanka Rajan +2
We endow each closed, orientable Alexandrov space with an integral current of weight equal to 1, , in other words, we prove that $(X, d…
Regularization via Cheeger Deformations
Catherine Searle, Pedro Solórzano, Frederick Wilhelm
We show that Cheeger deformations regularize --invariant metrics in a very strong sense.
Positively curved manifolds with maximal symmetry rank
Karsten Grove, Catherine Searle
The symmetry-rank of a riemannian manifold is by definition the rank of its isometry group. We determine precisely which smooth closed manifolds admit a positively curved metric wi…
Low-dimensional manifolds with non-negative curvature and maximal symmetry rank
Fernando Galaz-Garcia, Catherine Searle
We classify closed, simply connected -manifolds of non-negative sectional curvature admitting an isometric torus action of maximal symmetry rank in dimensions . I…