LIE DERIVATIVES AND DEVIATION EQUATIONS IN RIEMANNIAN SPACES

被引:17
作者
MANOFF, S
机构
[1] Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, 1113
关键词
D O I
10.1007/BF00762128
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The connection between Lie derivatives and the deviation equations has been investigated in Riemannian spaces V n. On this basis the deviation equations of the geodesies have been obtained, in spaces with symmetries, as well as deviation equations of nongeodesic trajectories, through imposing certain conditions on the Lie derivatives with respect to the tangential vector of the basic trajectory. © 1979 Plenum Publishing Corporation.
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页码:189 / 204
页数:16
相关论文
共 26 条
[1]  
BAZANSKI SL, 1977, ANN I H POINCARE A, V27, P115
[2]  
BAZANSKI SL, 1977, ANN I H POINCARE A, V27, P145
[3]  
BAZANSKI SL, 1975, SCRIPTA FS NAT UJEP, V5, P265
[4]  
EPIKHIN EN, 1976, THESIS MOSCOW
[5]   RELATIVISTIC ROCHE PROBLEM .2. STABILITY THEORY [J].
FISHBONE, LG .
ASTROPHYSICAL JOURNAL, 1975, 195 (02) :499-505
[6]   RELATIVISTIC ROCHE PROBLEM [J].
FISHBONE, LG .
ASTROPHYSICAL JOURNAL, 1972, 175 (03) :L155-+
[7]   RELATIVISTIC ROCHE PROBLEM .1. EQUILIBRIUM THEORY FOR A BODY IN EQUATORIAL, CIRCULAR ORBIT AROUND A KERR BLACK HOLE [J].
FISHBONE, LG .
ASTROPHYSICAL JOURNAL, 1973, 185 (01) :43-67
[8]  
FUCHS H, 1974, EXP TECH PHYS BERLIN, V3, P185
[9]   APPLICATIONS OF LIE DERIVATIVES TO SYMMETRIES, GEODESIC MAPPINGS, AND FIRST INTEGRALS IN RIEMANNIAN SPACES [J].
KATZIN, GH ;
LEVINE, J .
COLLOQUIUM MATHEMATICUM, 1972, 26 :21-38
[10]  
MANOFF S, 1977, 8TH INT C GRG WAT, P241