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Abstract In this paper, we study the singular minimal foliation by the fibres of harmonic morphisms due to Burel from ( S 4 , g k , l ) into… Click to show full abstract
Abstract In this paper, we study the singular minimal foliation by the fibres of harmonic morphisms due to Burel from ( S 4 , g k , l ) into S 2 where ( g k , l ) is a family of conformal metrics on S 4 . The map arises from a composition of a map to S 3 followed by a mapping of Hopf invariant kl. Regular fibres determine a foliation by minimal surfaces which becomes singular at critical points. In order to study the singular set we introduce a notion of multiple fibre and apply 4-dimensional intersection theory.
Keywords:
fibres harmonic;
harmonic morphisms;
singular fibres;
geometry
Journal Title: Differential Geometry and Its Applications
Year Published: 2019
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Journal Title: Differential Geometry and Its Applications
Year Published: 2019
Link to full text (if available)
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recommendations!