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On a relation between the $mathrm{K}$-cowaist and the $hat{mathsf{A}}$-cowaist | | Xiangsheng Wang
; | | Date: |
1 Sep 2023 | | Abstract: | The $mathrm{K}$-cowaist $ ext{K-cw}_2 (M)$ and the
$hat{mathsf{A}}$-cowaist $hat{mathrm{A}}$-$mathrm{cw}_2 (M)$ are two
interesting invariants on a manifold $M$, which are closely related to the
existence of the positive scalar curvature metric on $M$. In this note, we give
a detailed proof of the following inequality due to Gromov: $ ext{K-cw}_2 (M)
le c hat{mathrm{A}}$-$mathrm{cw}_2 (M)$, where $c$ is a dimensional
constant. | | Source: | arXiv, 2309.00352 | | Services: | Forum | Review | PDF | Favorites | |
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