Volume growth of some uniformly contractible Riemannian manifolds

DOI10.1007/s00209-006-0038-7zbMath1122.53021OpenAlexW2079381794WikidataQ115388825 ScholiaQ115388825MaRDI QIDQ870641

Luofei Liu

Publication date: 13 March 2007

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0038-7

zbMATH Keywords

volume growthuniformly contractible space

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

Zero asymptotic Lipschitz distance and finite Gromov-Hausdorff distance

Cites Work

• Smooth approximation of Lipschitz functions on Riemannian manifolds
• Filling Riemannian manifolds
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• \(C^\infty\) convex functions and manifolds of positive curvature
• Large Riemannian manifolds which are flexible
• On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume.
• Generalized degree and optimal Loewner-type inequalities
• On asymptotic volume of tori
• $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
• Boundary case of equality in optimal Loewner-type inequalities
• On the Higson-Roe corona
• Quasi-flats and rigidity in higher rank symmetric spaces
• Approximating Topological Metrics by Riemannian Metrics
• Uniform structures of metric spaces and open manifolds
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