A New Proof of the Gromov's Theorem on Almost Flat Manifolds

2019/06/08 by Xiaochun Rong, Rong, Xiaochun · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1906.03377

openalex publication_date 2019/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We will give a new proof for the Gromov's theorem on almost flat manifolds, which is an inductive proof on dimension.

Citations

• Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products
• Collapsed Manifolds With Ricci Bounded Covering Geometry

Cited by

• Collapsing Geometry with Ricci Curvature Bounded Below and Ricci Flow Smoothing

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