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On the 2-systole of stretched enough positive scalar curvature metrics on S 2 × S 2

Abstract : We use recent developments by Gromov and Zhu to derive an upper bound for the 2-systole of the homology class of S 2 × { * } in a S 2 × S 2 with a positive scalar curvature metric such that the set of spheres homologous to S 2 × { * } is wide enough in some sense.
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https://hal.u-pec.fr//hal-02889894
Contributor : Thomas Richard <>
Submitted on : Sunday, July 5, 2020 - 9:03:36 PM
Last modification on : Saturday, August 1, 2020 - 9:46:41 AM
Long-term archiving on: : Friday, September 25, 2020 - 11:48:21 AM

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  • HAL Id : hal-02889894, version 1
  • ARXIV : 2007.02705

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Thomas Richard. On the 2-systole of stretched enough positive scalar curvature metrics on S 2 × S 2. 2020. ⟨hal-02889894v1⟩

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