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KNOT SINGULARITIES OF HARMONIC MORPHISMS
Published online by Cambridge University Press: 20 January 2009
Abstract
A harmonic morphism defined on $\mathbb{R}^3$ with values in a Riemann surface is characterized in terms of a complex analytic curve in the complex surface of straight lines. We show how, to a certain family of complex curves, the singular set of the corresponding harmonic morphism has an isolated component consisting of a continuously embedded knot.
AMS 2000 Mathematics subject classification: Primary 57M25. Secondary 57M12; 58E20
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 44 , Issue 1 , February 2001 , pp. 71 - 85
- Copyright
- Copyright © Edinburgh Mathematical Society 2001
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