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

Chen YLxin; Gao Hongbo

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2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(S2) : 141-153

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

Chen YLxin ,
Gao Hongbo

Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, Zhejiang, China

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Abstract：
By using the theory of uniformization of Riemannian surface, we study the properties of the Liouville equation and its general solution on a Riemannian 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 Riemannian surface.

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Chen YLxin and Gao Hongbo. Integrability of Liouville System on High Genus Riemannian Surface I. Classical Case[J]. Chinese Physics C, 1992, 16(S2): 141-153.

Chen YLxin and Gao Hongbo. Integrability of Liouville System on High Genus Riemannian Surface I. Classical Case[J]. Chinese Physics C, 1992, 16(S2): 141-153. shu

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

Chen YLxin
Gao Hongbo

Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, Zhejiang, China

Received Date: 1991-04-19

Abstract: By using the theory of uniformization of Riemannian surface, we study the properties of the Liouville equation and its general solution on a Riemannian 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 Riemannian surface.