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math.DG2023
A note on rational homology vanishing theorem for hypersurfaces in aspherical manifolds
Shihang He, Jintian Zhu
In this note, we generalize Gromov's reduction \cite{Gro20} from the aspherical conjecture to the generalized filling radius conjecture to the smooth -homology vanishing…
math.DG2023
Twisted stability and positive scalar curvature obstruction on fiber bundles
Shihang He
We establish several non-existence results of positive scalar curvature (PSC) on fiber bundles. We show that under an incompressible condition of the fiber, for a Cartan-Hada…