這篇文章主要是以 Osserman 的「A Survey of Minimal Surfaces」為基礎所寫的讀書報告。另外也參閱了 Osserman 在1959年到1964年間所寫的一系列論文。而 Barbosa 和 Colares 的「Minimal Surfaces in R3」，以及 Dierkes 的「Minimal surfaces I」這兩本書，也是我這篇論文的重要參考著作。

這篇論文的第1,2,4章是一些最小曲面的性質的介紹。在第3,5章pp是以複變觀點來看最小曲面問題。第6,7章pp探討最小曲面上的高斯映射，特別是高斯映射所沒有對應到的值的數目與最小完備曲面的關係。在最後的第8,9章及附錄，我們列出一些重要的例子及其圖形。

This report is based on Osserman, A Survey of Minimal Surfaces, and Barbosa and Colares, Minimal Surfaces in R3.

Chapter 1 to 5 review the basic definitions and properties of surfaces and minimal surface theory. The analysis of complex variables is particularly useful in studying minimal surfaces: the notion of harmonic functions is described in Chapter 3 and that of Enneper-Weierstrass parametrization is described in Chapter 5. The following two Chapter 6 and 7 discuss the relation between a complete minimal surface and its image under Gauss map.
Finally, some examples and figures of minimal surfaces are given in Chapter 8 and 9 while their computer program formulas are listed in the Appendix.

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