Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature
Abstract
Let M be an open Riemannian n-manifold with nonnegative Ricci curvature. We prove that if the first Betti number of M equals n-1, then M is flat.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.