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Wraith, David (1998) The fundamental group of non-negatively curved manifolds. Irish Mathematical Society Bulletin, 40. pp. 35-45. ISSN 0791-5578
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Abstract
The aim of this article is to offer a brief survey of an interesting, yet accessible line of research in Differential Geometry. A fundamental problem of mathematics is to understand the relationship between the geometry and topology of manifolds. The geometry of a manifold is determined by a Riemannian metric, that is, a smoothly varying inner product on the tangent bundle. Altering
the Riemannian metric on a given manifold alters the way in which it curves. It is natural, therefore, to ask to what extent the possible curvatures of a manifold determine and are determined by its topology. Note that all manifolds are assumed to be Riemannian, smooth, complete and without boundary.
| Item Type: | Article |
|---|---|
| Keywords: | geometry; non-negatively curved manifolds; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 10079 |
| Depositing User: | Dr. David Wraith |
| Date Deposited: | 05 Oct 2018 16:37 |
| Journal or Publication Title: | Irish Mathematical Society Bulletin |
| Publisher: | Irish Mathematical Society |
| Refereed: | Yes |
| URI: | https://mu.eprints-hosting.org/id/eprint/10079 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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