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- W2022121520 abstract "The ideas of holonomy group fixing an m-dimensional plane in a Finsler space were given by one of the present authors[1]. In that paper the deformation properties of the space admitting such holonomy group were of main consideration and, indeed, the decomposition characteristics of the space were not touched upon. In the present paper we consider the decomposition of the space due to the existence of holonomy group. The geometry is constructed on the decomposed metric of the space. The decomposition properties of various entities such as the connection parameters, the covariant derivatives, the curvature tensors, and the projective curvature tensors have been studied. In all there are six articles in the paper. The first of these is introductory. The next three articles are dealt with the Cartan's approach to Finsler space whereas the fifth one is dealt with Berwald's approach. The last article is devoted to the theory of decomposition in the projective curvature tensors." @default.
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- W2022121520 date "1970-12-01" @default.
- W2022121520 modified "2023-10-04" @default.
- W2022121520 title "On the finsler space admitting a holonomy group" @default.
- W2022121520 cites W15330580 @default.
- W2022121520 doi "https://doi.org/10.1007/bf02413543" @default.
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