Hopf构造与调和态射在$\s^2$中的推广
A generalisation of the Hopf Construction and harmonic morphisms into $\s^2$
摘要：
本文构造了一族新的调和态射$φ:V^5\to\s^2$，其中$V^5$是包含在$\c^4=\r^8$的椭球超曲面中的5维开流形.这些调和态射允许对完备化${V^{\ast}}^5$的连续扩展，这证明是一个显式的实代数簇。我们工作的背景下，推广的Hopf结构和等变理论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
