The almost rigidity of manifolds with lower bounds on Ricci curvature and minimal volume growth

DOI10.4310/CAG.2000.v8.n1.a6zbMath0970.53024arXivmath/9903171OpenAlexW1732690208MaRDI QIDQ1971640

Christina Sormani

Publication date: 14 October 2001

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903171

zbMATH Keywords

comparison theoremRicci curvatureBusemann functionvolume growthrigidity theoremdiameter growth

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Busemann functions on the Wasserstein space ⋮ Non-compact \(\mathrm{RCD}(0,N)\) spaces with linear volume growth ⋮ An almost rigidity theorem and its applications to noncompact RCD(0,N) spaces with linear volume growth ⋮ Noncompact manifolds with nonnegative Ricci curvature ⋮ The fundamental groups of open manifolds with nonnegative Ricci curvature ⋮ On manifolds with quadratic curvature decay ⋮ Examples with bounded diameter growth and infinite topological type ⋮ Unnamed Item

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