We give a detailed account of the gauge-theoretic approach to Lie applicable surfaces and the resulting transformation theory. In particular, we show that this approach coincides with the classical notion of $\Omega$- and $\Omega_{0}$-surfaces of Demoulin.

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我们详细介绍了李适用曲面的规范理论方法和由此产生的变换理论。特别是，我们表明这种方法与 Demoulin 的 $\Omega$- 和 $\Omega_{0}$- 表面的经典概念一致。