Geodesics in a Finsler surface with one-parameter group of motions

2016 ◽  
Vol 89 (1-2) ◽  
pp. 137-160 ◽  
Author(s):  
NOBUHIRO INNAMI ◽  
TETSUYA NAGANO ◽  
KATSUHIRO SHIOHAMA
Keyword(s):  
Parameter Group ◽  
Group Of Motions

Empty Space-Times Admitting a Three Parameter Group of Motions

2004 ◽  
Vol 36 (12) ◽  
pp. 2699-2719 ◽  
Author(s):  
A. H. Taub
Keyword(s):  
Empty Space ◽  
Parameter Group ◽  
Group Of Motions

Symmetry properties of Harrison space-times

1964 ◽  
Vol 60 (2) ◽  
pp. 259-263
Author(s):  
C. D. Collinson
Keyword(s):  
Abelian Subgroup ◽  
Space Time ◽  
Parameter Group ◽  
Symmetry Properties ◽  
Group Of Motions

AbstractAll possible symmetries of the non-degenerate Harrison space-times are found. It is shown that if such a space-time admits an r-parameter group of motions, with r > 1, then it must admit a 2-parameter Abelian subgroup.

Empty Space-Times Admitting a Three Parameter Group of Motions

1951 ◽  
Vol 53 (3) ◽  
pp. 472 ◽  
Author(s):  
A. H. Taub
Keyword(s):  
Empty Space ◽  
Parameter Group ◽  
Group Of Motions

scholarly journals ON TARGET SPACE DUALITY IN p-BRANES

1995 ◽  
Vol 10 (05) ◽  
pp. 441-450 ◽  
Author(s):  
R. PERCACCI ◽  
E. SEZGIN
Keyword(s):  
Dimensional Space ◽  
Target Space ◽  
Field Equations ◽  
Parameter Group ◽  
Duality Transformations ◽  
World Volume ◽  
The World ◽  
Dimensional Space Time ◽  
Background Fields ◽  
Two Parameter

We study the target space duality transformations in p-branes as transformations which mix the world volume field equations with Bianchi identities. We consider an (m+p+1)-dimensional space-time with p+1 dimensions compactified, and a particular form of the background fields. We find that while a GL (2) = SL (2) × R group is realized when m = 0, only a two-parameter group is realized when m > 0.

A spatially homogeneous gravitational field

1966 ◽  
Vol 62 (1) ◽  
pp. 87-89 ◽  
Author(s):  
V. Joseph
Keyword(s):  
Gravitational Field ◽  
Canonical Form ◽  
Riemann Tensor ◽  
Vacuum Field ◽  
Type I ◽  
Field Equations ◽  
Parameter Group ◽  
Spatially Homogeneous ◽  
Homogeneous Gravitational Field ◽  
Type V

AbstractA solution of Einstein's vacuum field equations, apparently new, is exhibited. The metric, which is homogeneous (that is, admits a three-parameter group of motions transitive on space-like hypersurfaces), belongs to Taub Type V. The canonical form of the Riemann tensor, which is of Petrov Type I, is determined.

scholarly journals Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

2017 ◽  
Vol 22 (8) ◽  
pp. 949-954 ◽  
Author(s):  
Alexey P. Mashtakov ◽  
Anton Yu. Popov
Keyword(s):  
Euclidean Space ◽  
Group Of Motions
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