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arXiv · 0910.0170

A generalisation of the Hopf Construction and harmonic morphisms into $\s^2$

S. Montaldo·A. Ratto
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Abstract

In this paper we construct a new family of harmonic morphisms $φ:V^5\to\s^2$, where $V^5$ is a 5-dimensional open manifold contained in an ellipsoidal hypersurface of $\c^4=\r^8$. These harmonic morphisms admit a continuous extension to the completion ${V^{\ast}}^5$, which turns out to be an explicit real algebraic variety. We work in the context of a generalization of the Hopf construction and equivariant theory.

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S. Montaldo, A. Ratto. 2009-10-01. A generalisation of the Hopf Construction and harmonic morphisms into $\s^2$. https://arxiv.org/abs/0910.0170

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