No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds
By Misha Gromov. 2020
67 citations recorded by the source corpus.
A metric space $X$ is called uniformly acyclic if there there exists an {\it acyclicty control function} $R=R(r)=R_X(r)\geq r $, $0\leq r 0$ for $dim (X)\leq 5$. Our argument, that depends on {\it torical symmetrization} of {\it stable $\mu$-bubbles}, is inspired by the recent paper by Otis Chodosh and Chao Li on non-existence of metrics with $Sc>0$ on aspherical 4-manifolds and is also influenced by the ideas of Jintian Zhu and Thomas Richard.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/d475b27d2ade581d497be30fb779216064f010c2
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Generalized soap bubbles and the topology of manifolds with positive scalar curvature (2020, background): “Gromov [14] containing a proof of the same generalization, as well as further extensions to certain non-compact 5-dimensional manifolds.”