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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)
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