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Trudy Geometricheskogo Seminara, 1974, Volume 5, Pages 69–96
(Mi intg51)
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Some questions on the theory of nonholonomic complexes
V. I. Bliznikas
Abstract:
In this paper which is a continuation of the fairly recent papers by К. J. Grincevicius and the author [2]–[3] the study of non-holonomic complex $\mathrm{NGr}(1,3,3)$ in the three-dimensional' projective space is continued. In § 1 the definition of $\mathrm{NGr}(1,3,3)$ is introduced and the algebraic structure of the first fundamental object $H^{(1)}(\mathrm{NGr}(1,3,3))$ of $\mathrm{NGr}(1,3,3)$ (in terms by G. F. Laptev [4]) is considered. In § 2 the geometrical interpretations of some comitants of the first fundamental object $H^{(1)}(\mathrm{NGr}(1,3,3))$ are given. In § 3 some invariant inner normalizations of $\mathrm{NGr}(1,3,3)$ are found and, finally, in § 4 is proved that, in general case, the first fundamental object $H^{(1)}(\mathrm{NGr}(1,3,3))$ is the principal object of non hokmomic complex $\mathrm{NGr}(1,3,3)$.
Citation:
V. I. Bliznikas, “Some questions on the theory of nonholonomic complexes”, Tr. Geom. Sem., 5, VINITI, Moscow, 1974, 69–96
Linking options:
https://www.mathnet.ru/eng/intg51 https://www.mathnet.ru/eng/intg/v5/p69
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