Integrability of Liouville System on High Genus Riemann Surface.Ⅰ. Classical Case

CHEN Yi-Xin; GAO Hong-Bo

Chinese Physics C> 1992, Vol. 16> Issue(4) : 323-334

Integrability of Liouville System on High Genus Riemann Surface.Ⅰ. Classical Case

CHEN Yi-Xin ^, ,
GAO Hong-Bo

Zhejiang Institute of Modern Physics,Zhejiang University,Hangzhou 310027

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Abstract：
By using the theory of uniformization of Riemann surfaces,we study properties of the Liouville equation and its general solution on a Riemann surface of genus g>1.After obtaining Hamiltonian formalism in terms of free fields and calculating classical exchange matrices,we prove the classical integrability of Liouville system on high genus Riemann surface.

References

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CHEN Yi-Xin and GAO Hong-Bo. Integrability of Liouville System on High Genus Riemann Surface.Ⅰ. Classical Case[J]. Chinese Physics C, 1992, 16(4): 323-334.

CHEN Yi-Xin and GAO Hong-Bo. Integrability of Liouville System on High Genus Riemann Surface.Ⅰ. Classical Case[J]. Chinese Physics C, 1992, 16(4): 323-334. shu

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Received: 1900-01-01
Revised: 1900-01-01

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