APPLICATIONS OF LIE DERIVATIVES TO SYMMETRIES, GEODESIC MAPPINGS, AND FIRST INTEGRALS IN RIEMANNIAN SPACES

被引：57

作者：

KATZIN, GH ^{[1
]}

LEVINE, J ^{[1
]}

机构：

[1] N CAROLINA STATE UNIV, RALEIGH, NC 27607 USA

来源：

COLLOQUIUM MATHEMATICUM | 1972年 / 26卷

关键词：

D O I：

10.4064/cm-26-1-21-38

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：21 / 38

页数：18

共 24 条

[1] CURVATURE COLLINEATIONS FOR GRAVITATIONAL PP WAVES [J].

AICHELBURG, PC .

JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (08) :2458-+

[2] CURVATURE COLLINEATIONS IN EMPTY SPACE-TIMES [J].

COLLINSON, CD .

JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (03) :818-+

[3] CONSERVATION LAWS OF GENERAL THEORY OF RELATIVITY .2. SPACE-TIMES ADMITTING CERTAIN SYMMETRY PROPERTIES MORE GENERAL THAN MOTIONS [J].

DAVIS, WR ;

MOSS, MK .

NUOVO CIMENTO, 1965, 38 (04) :1558-+

[4]

EISENHART LP, 1927, 8 AM MATH SOC COLL P

[5] RELATED FIRST INTEGRAL THEOREM - A METHOD FOR OBTAINING CONSERVATION LAWS OF DYNAMICAL SYSTEMS WITH GEODESIC TRAJECTORIES IN RIEMANNIAN SPACES ADMITTING SYMMETRIES [J].

KATZIN, GH ;

LEVINE, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (01) :8-&

[6]

KATZIN GH, 1971, TENSOR, V22, P64

[7] GROUPS OF CURVATURE COLLINEATIONS IN RIEMANNIAN SPACE-TIMES WHICH ADMIT FIELDS OF PARALLEL VECTORS [J].

KATZIN, GH ;

LEVINE, J ;

DAVIS, WR .

JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (05) :1578-&

[8]

KATZIN GH, 1970, TENSOR, V21, P51

[9] CURVATURE COLLINEATIONS - A FUNDAMENTAL SYMMETRY PROPERTY OF SPACE-TIMES OF GENERAL RELATIVITY DIFINED BY VANISHING LIE DERIVATIVE OF RIEMANN CURVATURE TENSOR [J].

KATZIN, GH ;

LEVINE, J ;

DAVIS, WR .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (04) :617-&

[10]

KATZIN GH, 1968, TENSOR, V19, P42

← 1 2 3 →