27 citations · 68 across the 17 of their papers we have counts for
21 papers
Kähler-Ricci solitons with almost maximal symmetry
Ha Tuan Dung, Catherine Searle, Hung Tran
This paper studies a non-trivial gradient Kähler-Ricci soliton, of complex dimension , with an isometry group of dimension at least . We show that the isometry group acts…
Symmetries of Spaces with Lower Curvature Bounds
Catherine Searle
This article surveys results for Riemannian manifolds of positive and non-negative sectional curvature with symmetries.
Positive -intermediate scalar curvature and cobordism
Matthew Burkemper, Catherine Searle, Mark Walsh
In this paper we consider a well-known construction due to Gromov and Lawson, Schoen and Yau, Gajer, and Walsh which allows for the extension of a metric of positive scalar curvatu…
Positive curvature and discrete abelian symmetry
Lee Kennard, Elahe Khalili Samani, Catherine Searle
By replacing the torus with an elementary abelian two-group, we generalize the maximal symmetry result of Grove and Searle and the half-maximal symmetry result of Wilking for posit…
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…