Macroscopic scalar curvature and areas of cycles

DOI10.1007/s00039-017-0417-8zbMath1457.53024arXiv1705.02923OpenAlexW2963187641MaRDI QIDQ2400822

Hannah Alpert, Kei Funano

Publication date: 30 August 2017

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02923

zbMATH Keywords

minimal surfacehyperbolic manifoldmacroscopic scalar curvature

Mathematics Subject Classification ID

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)

Related Items

Volume and macroscopic scalar curvature

Cites Work

• Volumes of balls in large Riemannian manifolds
• Surfaces minimizing area in their homology class and group actions on 3- manifolds
• Volume and bounded cohomology
• Scalar curvature and the Thurston norm
• Systolic inequalities and minimal hypersurfaces
• Metaphors in systolic geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item