论文标题
开放riemann表面的适当谐波嵌入到$ \ mathbb {r}^4 $中
Proper harmonic embeddings of open Riemann surfaces into $\mathbb{R}^4$
论文作者
论文摘要
我们证明，通过谐波功能，每个开放的Riemann Surface都会承认适当的嵌入到$ \ mathbb {r}^4 $中。在此框架中，这将减少为先前已知的嵌入维度，其历史可以追溯到1975年Greene和Wu的定理。
We prove that every open Riemann surface admits a proper embedding into $\mathbb{R}^4$ by harmonic functions. This reduces by one the previously known embedding dimension in this framework, dating back to a theorem by Greene and Wu from 1975.
