Let \(M\subset \mathbb C\) be an open set and \(V\) a complex vector space with a non-degenerated complex-valued symmetric complex-bilinear form \(\langle.,.\rangle\). A null-curve is a map \(\gamma \colon M \to V\) such that\[\gamma^\ast\langle.,.\rangle = \langle d\gamma,d\gamma\rangle = 0\,.\]Unless explicitly stated … Continue reading Tutorial 5: Holomorphic Null-Curves—Associated Family and Goursat transforms