On the Classification of Quadratic Harmonic Morphisms between Euclidean Spaces

@inproceedings{Ou1995OnTC,
  title={On the Classification of Quadratic Harmonic Morphisms between Euclidean Spaces},
  author={Ye-Lin Ou},
  year={1995}
}
We give a classification of quadratic harmonic morphisms between Euclidean spaces (Theorem 2.4) after proving a Rank Lemma. We also find a correspondence between umbilical (Definition 2.7) quadratic harmonic morphisms and Clifford systems. In the case R 4 −→ R 3 , we determine all quadratic harmonic morphisms and show that, up to a constant factor, they are all bi-equivalent (Definition 3.2) to the well-known Hopf construction map and induce harmonic morphisms bi-equivalent to the Hopf… CONTINUE READING

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Cliffordalgebren und neue isoparametrische Hyperflächen

  • H. Karcher, H. F. Münzner
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