厚三角剖分的存在性--一个“初等”证明
The existence of thick triangulations -- an "elementary" proof
摘要：
我们提供了一个替代的，更简单的证明非紧$\mathcal{C}^1$流形的厚三角剖分的存在性。此外，这个证明是简单的比原来的一个在\cite{pe}，因为它主要使用的工具，小学微分拓扑。曲率在这一建设中所发挥的作用也被强调。
英文摘要：
We provide an alternative, simpler proof of the existence of thick triangulations for noncompact $\mathcal{C}^1$ manifolds. Moreover, this proof is simpler than the original one given in \cite{pe}, since it mainly uses tools of elementary differential topology. The role played by curvatures in this construction is also emphasized.
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。
