Almost Isotropy-Maximal Manifolds of Non-negative Curvature

Zheting Dong; Christine Escher; Catherine Searle

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arXiv · 1811.01493

Almost Isotropy-Maximal Manifolds of Non-negative Curvature

Zheting Dong·Christine Escher·Catherine Searle

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Abstract

We extend the equivariant classification results of Escher and Searle for closed, simply connected, non-negatively curved Riemannian $n$-manifolds admitting isometric isotropy-maximal torus actions to the class of such manifolds admitting isometric strictly almost isotropy-maximal torus actions. In particular, we prove that such manifolds are equivariantly diffeomorphic to the free, linear quotient by a torus of a product of spheres of dimensions greater than or equal to three.

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Zheting Dong, Christine Escher, Catherine Searle. 2018-11-05. Almost Isotropy-Maximal Manifolds of Non-negative Curvature. https://arxiv.org/abs/1811.01493

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