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math.DG2020
Cohomogeneity One Manifolds and Homogeneous Spaces of Positive Scalar Curvature
Georg Frenck, Fernando Galaz-Garcia, Philipp Reiser
We characterize cohomogeneity one manifolds and homogeneous spaces with a compact Lie group action admitting an invariant metric with positive scalar curvature.
math.DG2020★ 1 cited
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…