Abstract
AbstractA 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
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. An integral formula for a class of biharmonic maps from Euclidean 3-space;Differential Geometry and its Applications;2018-10
2. Appendix;Harmonic Morphisms Between Riemannian Manifolds;2003-03-27
3. Introduction;Harmonic Morphisms Between Riemannian Manifolds;2003-03-27
4. Dedication;Harmonic Morphisms Between Riemannian Manifolds;2003-03-27
5. Copyright Page;Harmonic Morphisms Between Riemannian Manifolds;2003-03-27