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

Résumé : À l'aide de résultats résultats récents dûs à Gromov et Zhu, on majore la 2-systole de la classe d'homologie de S 2 x { * } dans un S 2 x S 2 à courbure scalaire positive tel que l'ensemble des sphères homologues à S 2 x { * } soit assez large en un certain sens.
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https://hal.u-pec.fr//hal-02889894
Contributor : Thomas Richard <>
Submitted on : Wednesday, July 29, 2020 - 2:19:14 PM
Last modification on : Saturday, August 1, 2020 - 9:46:41 AM

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  • HAL Id : hal-02889894, version 2
  • 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-02889894v2⟩

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