#harmonic_morphism

Harmonic morphism

In mathematics, a harmonic morphism is a (smooth) map  :(M^{m},g)\to (N^{n},h)} between Riemannian manifolds that pulls back real-valued harmonic functions on the codomain to harmonic functions on the domain. Harmonic morphisms form a special class of harmonic maps, namely those that are horizontally (weakly) conformal.

Tue 16th

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