Metric geometry on manifolds: two lectures

2020/10/20 by Anton Petrunin, Petrunin, Anton
Mathematics · #Geometric and Algebraic Topology #Point processes and geometric inequalities #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2010.10040

Abstract

We discuss Besicovitch inequality, width, and systole of manifolds.

Citations

• An invitation to Alexandrov geometry: CAT(0) spaces

Related

• Systolic freedom of orientable manifolds
• Volume of Riemannian manifolds, geometric inequalities, and homotopy theory
• Besicovitch and doubling type properties in metric spaces
• Homological n-systole in (n+1)-manifolds and bi-Ricci curvature
• Besse projective spaces with many diameters