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:
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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