Sato, Hajime Integrability of contact Schwarzian derivatives and its linearization. (English) Zbl 0979.53088 Mladenov, I. M. (ed.) et al., Proceedings of the international conference on geometry, integrability and quantization, Varna, Bulgaria, September 1-10, 1999. Sofia: Coral Press Scientific Publishing. 225-228 (2000). Summary: We define the contact Schwarzian derivatives \(s_{[ij,k]} (\varphi)\) for a contact transformation \(\varphi: \mathbb{K}^3\to \mathbb{K}^3\). Using the contact Schwarzian derivatives as coefficients, we give a system of linear differential equations such that the solutions give the contact transformation.For the entire collection see [Zbl 0940.00039]. MSC: 53D10 Contact manifolds (general theory) Keywords:contact Schwarzian derivatives; contact transformation PDF BibTeX XML Cite \textit{H. Sato}, in: Proceedings of the international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, September 1--10, 1999. Sofia: Coral Press Scientific Publishing. 225--228 (2000; Zbl 0979.53088)