Manifolds with quadratic curvature decay and slow volume growth

DOI10.1016/S0012-9593(00)00110-5zbMath0996.53026arXivmath/9809097OpenAlexW2097131988WikidataQ127972166 ScholiaQ127972166MaRDI QIDQ4485154

Zhong-min Shen, John Lott

Publication date: 29 October 2002

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809097

zbMATH Keywords

volume growthtopological obstructionsquadratic curvature decaytopological finiteness

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Methods of local Riemannian geometry (53B21)

Related Items (7)

On the Perelman's reduced entropy and Ricci flat manifolds with maximal volume growth ⋮ On the geometry of asymptotically flat manifolds ⋮ Harmonic functions on manifolds whose large spheres are small ⋮ The porous medium equation with large initial data on negatively curved Riemannian manifolds ⋮ A volume comparison estimate with radially symmetric Ricci curvature lower bound and its applications ⋮ Examples of Einstein manifolds in odd dimensions ⋮ On manifolds with quadratic curvature decay

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