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VOL. 1 | 2000 Integrability of Contact Schwarzian Derivatives and its Linearization

Abstract

We define the contact Schwarzian derivatives $s_{[ij,k]}(\phi)$ for a contact transformation $\phi : \mathbb{K}^3 \rightarrow \mathbb{K}^3$. Using the contact Schwarzian derivatives as coefficients, we give a system of linear differential equations such that the solutions give the contact transformation.

Information

Published: 1 January 2000
First available in Project Euclid: 5 June 2015

zbMATH: 0979.53088
MathSciNet: MR1758165

Digital Object Identifier: 10.7546/giq-1-2000-225-228

Rights: Copyright © 2000 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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