# On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on $\mathbb{S}^2\times\mathbb{S}^2$

* Corresponding author
Abstract : We use recent developments by Gromov and Zhu to derive an upper bound for the 2-systole of the homology class of $\mathbb{S}^2\times\{\ast\}$ in a $\mathbb{S}^2\times\mathbb{S}^2$ with a positive scalar curvature metric such that the set of surfaces homologous to $\mathbb{S}^2\times\{\ast\}$ is wide enough in some sense.
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Journal articles
Domain :

https://hal.u-pec.fr//hal-02889894
Contributor : Thomas Richard <>
Submitted on : Thursday, December 17, 2020 - 9:18:26 AM
Last modification on : Tuesday, March 23, 2021 - 10:34:15 AM

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sigma20-136.pdf
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### Citation

Thomas Richard. On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on $\mathbb{S}^2\times\mathbb{S}^2$. SIGMA,Symmetry Integrability ,Geometry and Applications, 2020, ⟨10.3842/sigma.2020.136⟩. ⟨hal-02889894v4⟩

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