1995/01/01 by G. Perelman · 3 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
paper · doi:10.1007/978-3-0348-9078-6_45
openalex publication_date 1995/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/13
Consider the following problem: Let M j be a collapsing sequence (i,e, Vol M j → 0) of complete Riemannian manifolds of bounded dimension, with sectional curvatures uniformly bounded below. What can be said about the Gromov-Hausdorff limit M of such a sequence? And what is the relation between the topology and geometry of M and that of manifolds M j with large j?.