New Minimal Surfaces of the Sphere S4 and the Hyperbolic Space H4 via Harmonic Morphisms
Abstract
In this work we introduce a new method for the construction of minimal submanifolds of codimension two in even dimensional spheres and hyperbolic spaces. This is based on the theory of complex-valued harmonic morphisms. This gives the first explicit examples of such maps defined on the sphere S4 and the hyperbolic space H4.
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