Proceedings of the International Conference on Geometry, Integrability and Quantization

Conformal Schwarzian Derivatives and Differential Equations

Hajime Sato and Tetsuya Ozawa

Abstract

We investigate the fundamental system of equations in the theory of conformal geometry, whose coefficients are considered as the conformal Schwarzian derivative. The integrability condition of the system is obtained in a simple method, which allow us to find a natural geometric structure on the solution space. From the solution spaces, using this geometric structure, we get a transformation whose Schwarzian derivative is equal to the given coefficients of the equation.

Article information

Source
Proceedings of the Fourth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Gregory L. Naber, eds. (Sofia: Coral Press Scientific Publishing, 2003), 271-283

Dates
First available in Project Euclid: 12 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1434148610

Digital Object Identifier
doi:10.7546/giq-4-2003-271-283

Mathematical Reviews number (MathSciNet)
MR1977574

Zentralblatt MATH identifier
1043.53015

Citation

Sato, Hajime; Ozawa, Tetsuya. Conformal Schwarzian Derivatives and Differential Equations. Proceedings of the Fourth International Conference on Geometry, Integrability and Quantization, 271--283, Coral Press Scientific Publishing, Sofia, Bulgaria, 2003. doi:10.7546/giq-4-2003-271-283. https://projecteuclid.org/euclid.pgiq/1434148610


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