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- W4205228922 abstract "The study of infinitesimal transformations in Riemannian spaces is of interest both theoretically and as an application. If a certain field is specified in the space V n with the metric d s 2 , which admits an r -parametric group of motions G r , then this field has r conservation laws. The distribution of relativistic gas according to the Maxwell-Boltzmann law is characterized by a vector ξ i ( x ) , which is a Killing vector (if the gas consists of particles of nonzero rest mass) or an infinitely small conformal transformation vector (if the gas consists of particles of zero rest mass). ([5],[6]) In this article, infinitesimal motions in symmetric Riemannian spaces of the first class V n were studied. For n = 4 the basis of the Lie group G 8 of examined transformations is explicitly found and the structure of this group is given." @default.
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- W4205228922 date "2020-12-28" @default.
- W4205228922 modified "2023-09-26" @default.
- W4205228922 title "Infinitesimal transformations of a symmetric Riemannian space of the first class" @default.
- W4205228922 doi "https://doi.org/10.30970/vmm.2020.90.069-075" @default.
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