Almost Isotropy-Maximal Manifolds of Non-negative Curvature

Dong, Zheting; Escher, Christine Maria; Searle, Catherine Elizabeth

doi:10.1090/tran/9100

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Almost Isotropy-Maximal Manifolds of Non-negative Curvature

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Escher, Christine Maria
Max Planck Institute for Mathematics, Max Planck Society;

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Searle, Catherine Elizabeth
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.1811.01493
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https://doi.org/10.1090/tran/9100
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Citation

Dong, Z., Escher, C. M., & Searle, C. E. (2024). Almost Isotropy-Maximal Manifolds of Non-negative Curvature. Transactions of the American Mathematical Society, 377(7), 4621-4645. doi:10.1090/tran/9100.

Cite as: https://hdl.handle.net/21.11116/0000-000F-AAA0-C

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.