## 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