Topology of non-negatively curved manifolds
β 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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π SIMILAR VOLUMES
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 gΓ, i A N, whose Ricci curvature is bigger than Γ1
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