摘要

In this paper, we construct a new family of harmonic morphisms phi : V-5 -> 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*(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.

  • 出版日期2010-9