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VOL. 4 | 2003 Conformal Schwarzian Derivatives and Differential Equations
Hajime Sato, Tetsuya Ozawa

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

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.

Information

Published: 1 January 2003
First available in Project Euclid: 12 June 2015

zbMATH: 1043.53015
MathSciNet: MR1977574

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

Rights: Copyright © 2003 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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