STACKEL-EQUIVALENT INTEGRABLE HAMILTONIAN-SYSTEMS

被引:48
作者
BOYER, CP
KALNINS, EG
MILLER, W
机构
[1] UNIV WAIKATO,DEPT MATH,HAMILTON,NEW ZEALAND
[2] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455
关键词
D O I
10.1137/0517057
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:778 / 797
页数:20
相关论文
共 21 条
[1]   COMPLETELY INTEGRABLE SYSTEMS, EUCLIDEAN LIE-ALGEBRAS, AND CURVES [J].
ADLER, M ;
VANMOERBEKE, P .
ADVANCES IN MATHEMATICS, 1980, 38 (03) :267-317
[2]  
BOCHER M, 1894, REIHENTWICKELUNGEN P
[3]   TRANSVERSAL HOMOCLINIC ORBITS IN AN INTEGRABLE SYSTEM [J].
DEVANEY, RL .
AMERICAN JOURNAL OF MATHEMATICS, 1978, 100 (03) :631-642
[4]  
Eisenhart L. P., 1949, RIEMANNIAN GEOMETRY
[5]   Separable systems of Stackel [J].
Eisenhart, LP .
ANNALS OF MATHEMATICS, 1934, 35 :284-305
[6]  
JACOBI E, 1884, GESAMMELTE WERKE S
[7]   SEPARATION OF VARIABLES FOR COMPLEX RIEMANNIAN SPACES OF CONSTANT CURVATURE .1. ORTHOGONAL SEPARABLE COORDINATES FOR SNC AND ENC [J].
KALNINS, EG ;
MILLER, W ;
REID, GJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1984, 394 (1806) :183-206
[8]   THE THEORY OF ORTHOGONAL R-SEPARATION FOR HELMHOLTZ EQUATIONS [J].
KALNINS, EG ;
MILLER, W .
ADVANCES IN MATHEMATICS, 1984, 51 (01) :91-106
[9]   KILLING TENSORS AND NONORTHOGONAL VARIABLE SEPARATION FOR HAMILTON-JACOBI EQUATIONS [J].
KALNINS, EG ;
MILLER, W .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (04) :617-629
[10]   KILLING TENSORS AND VARIABLE SEPARATION FOR HAMILTON-JACOBI AND HELMHOLTZ EQUATIONS [J].
KALNINS, EG ;
MILLER, W .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1980, 11 (06) :1011-1026