On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on 𝕊² × 𝕊²

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Richard, Thomas
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211083
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on 𝕊² × 𝕊². Thomas Richard. SIGMA 16 (2020), 136, 7 pages

We use recent developments by Gromov and Zhu to derive an upper bound for the 2-systole of the homology class of 𝕊² × {∗} in a 𝕊² × 𝕊² with a positive scalar curvature metric such that the set of surfaces homologous to 𝕊² × {∗} is wide enough in some sense.