基于有理指数的新复值调和态射
New Complex-Valued Harmonic Morphisms via Rational Exponents
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中文总结 AI 辅助
本文将复值特征族构造方法从多项式解推广至有理指数解,为微分几何领域的非线性问题提供了新的求解思路与众多新解。
中文摘要 AI 辅助
复值特征族方法已被用于求解微分几何中的困难非线性问题。本文旨在将该构造方法从使用多项式解推广至使用有理指数得到的解,这为所研究的问题提供了许多新的解。
英文摘要
The method of complex-valued eigenfamilies has been used to solve difficult non-linear problems in differential geometry. The purpose of this note is to generalise the construction method from the use of polynomial solutions to those obtained by rational exponents. This gives many new solutions to the problem under investigation.