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Topology of non-negatively curved manifolds

✍ Scribed by Escher, Christine; Ziller, Wolfgang


Book ID
125354749
Publisher
Springer
Year
2014
Tongue
English
Weight
389 KB
Volume
46
Category
Article
ISSN
0232-704X

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πŸ“œ SIMILAR VOLUMES


Ricci flow of almost non-negatively curv
✍ Simon, Miles πŸ“‚ Article πŸ“… 2009 πŸ› Walter de Gruyter GmbH & Co. KG 🌐 English βš– 328 KB

In this paper we study the evolution of almost non-negatively curved (possibly singular) three dimensional metric spaces by Ricci flow. The non-negatively curved metric spaces which we consider arise as limits of smooth Riemannian manifolds Γ°M i ; i gÞ, i A N, whose Ricci curvature is bigger than Γ€1

Growth tightness of negatively curved ma
✍ Andrea Sambusetti πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 92 KB

We show that any closed negatively curved manifold X is growth tight: this means that its universal covering X has an exponential growth rate Ο‰( X) which is strictly greater than the exponential growth rate Ο‰(X) of any other normal covering X. Moreover, we give an explicit formula which estimates th