-harmonic maps which map the boundary of the domain to one point in the target.
Course, Neil (2007)
The New York Journal of Mathematics [electronic only]
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Course, Neil (2007)
The New York Journal of Mathematics [electronic only]
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Harmonic morphisms are considered as a natural generalization of the analytic functions of Riemann surface theory. It is shown that any closed analytic 3-manifold supporting a non-constant harmonic morphism into a Riemann surface must be a Seifert fibre space. Harmonic morphisms from a closed 4-manifold to a 3-manifold are studied. These determine a locally smooth circle action on with possible fixed points. This restricts the topology of . In all cases, a harmonic morphism from...
Rosenfeld, Boris A., Zamakhovsky, Michael P. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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