A Generalization of Special Lorentz Transformation in de Sitter Space-time
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概要
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The transformations of the full Lorentz group are generalized in de Sitter space-time from the standpoint of the group of motions. When the curvature of the space-time tends to zero, the generalized transformations tend to the well-known forms of the corresponding transformations of the Lorentz group. Some properties of the transformations, especially those of the generalized special Lorentz transformation are studied. In connection with this research the important role the group of motions plays in relativity is considered and the difference of the notion of the invariancy in general and special relativities is also studied.
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