A Course in Metric Geometry

2001/06/12 by Dmitri Burago, Yuri Burago, Sergei Ivanov · 34 citations
Engineering · Mathematics · #Astronomy #Computer science #Course (navigation) #Engineering #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Mathematics #Metric (unit) #Physics

paper · doi:10.1090/gsm/033

openalex publication_date 2001/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

Metric Spaces Length Spaces Constructions Spaces of Bounded Curvature Smooth Length Structures Curvature of Riemannian Metrics Space of Metric Spaces Large-scale Geometry Spaces of Curvature Bounded Above Spaces of Curvature Bounded Below Bibliography Index.

Citations

• Metric Structures for Riemannian and Non-Riemannian Spaces
• Comparison Theorems in Riemannian Geometry
• Geometry of Manifolds
• Filling Riemannian manifolds
• Metric Spaces of Non-Positive Curvature
• On the Structure of Complete Manifolds of Nonnegative Curvature
• Riemannian Geometry
• Nonpositive Curvature: Geometric and Analytic Aspects
• The splitting theorem for manifolds of nonnegative Ricci curvature

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• On Ptolemaic metric simplicial complexes
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• Polynomial growth harmonic functions on finitely generated abelian groups
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• Gromov's compactness theorem (geometry) [wikipedia]
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