Geodesic
On the $2$-Systole of Stretched Enough Positive Scalar Curvature Metrics on $\mathbb{S}^2\times\mathbb{S}^2$
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: scalar curvature, higher systoles, geometric inequalities. 
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     author = {Thomas Richard},
     title = {On the $2${-Systole} of {Stretched} {Enough} {Positive} {Scalar} {Curvature} {Metrics} on $\mathbb{S}^2\times\mathbb{S}^2$},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a135/}
}
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Thomas Richard. On the $2$-Systole of Stretched Enough Positive Scalar Curvature Metrics on $\mathbb{S}^2\times\mathbb{S}^2$. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a135/

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