A note on rational homology vanishing theorem for hypersurfaces in aspherical manifolds

DOI10.1090/PROC/17089MaRDI QIDQ6668393

S. He, Jintian Zhu

Publication date: 22 January 2025

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Filling Riemannian manifolds
• Deformation to positive scalar curvature on complete manifolds
• The splitting theorem for manifolds of nonnegative Ricci curvature
• Positive Scalar Curvature, K-area and Essentialness
• Width estimate and doubly warped product
• Rigidity and non-rigidity of \(\mathbb{H}^n/\mathbb{Z}^{n-2}\) with scalar curvature bounded from below
• Four Lectures on Scalar Curvature
• Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions
• The Gauss-Bonnet inequality beyond aspherical conjecture
• Waist Inequality for 3-Manifolds with Positive Scalar Curvature
• Generalized soap bubbles and the topology of manifolds with positive scalar curvature
• Area and Gauss-Bonnet inequalities with scalar curvature

This page was built for publication: A note on rational homology vanishing theorem for hypersurfaces in aspherical manifolds

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6668393)