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Some Borsuk-Ulam-type theorems for maps from Riemannian manifolds into manifolds
Published online by Cambridge University Press: 14 November 2011
Synopsis
Suppose f: M →N is a continuous map from a Riemannian manifold (M, d) into a manifold N. The main result of this paper is to give some conditions under which f identifies a pair of cut points. This result leads to generalisations of the classical Borsuk-Ulam theorem. As a consequence some topological properties of locally symmetric spaces are discovered.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 1-2 , 1989 , pp. 61 - 67
- Copyright
- Copyright © Royal Society of Edinburgh 1989
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