DUPIN HYPERSURFACES AND INTEGRABLE HAMILTONIAN-SYSTEMS OF HYDRODYNAMIC TYPE, WHICH DO NOT POSSESS RIEMANN INVARIANTS

被引：28
作者：
FERAPONTOV, EV [1 ]
机构：
[1] RUSSIAN ACAD SCI, INST MATH MODELLING, MOSCOW 125047, RUSSIA
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1995年 / 5卷 / 02期
关键词：
HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE; RECIPROCAL TRANSFORMATIONS; DUPIN HYPERSURFACES; LIE SPHERE TRANSFORMATIONS; ISOPARAMETRIC HYPERSURFACES;
D O I：
10.1016/0926-2245(95)00011-R
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a close relationship between hamiltonian systems of hydrodynamic type and hypersurfaces of a pseudoeuclidean space. This correspondence provides a complete classification of the 3 x 3 integrable nondiagonalizable hamiltonian systems, based upon the classification of Dupin hypersurfaces in E(4).
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收藏
页码：121 / 152
页数：32
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