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JOURNALS // Itogi Nauki i Tekhniki. Seriya "Problemy Geometrii. Trudy Geometricheskogo Seminara" // Archive

Tr. Geom. Sem., 1974 Volume 5, Pages 55–68 (Mi intg50)

Some questions on the geometry of nonholonomic hypercomplexes $\mathrm{NGr}(1,4,5)$

S. I. Grigelionis


Abstract: This paper is a continuation of the paper by V. J. Bliznikas and the author [1]. In § 1 of this paper the definition of a nonlrolonomic hppecomplex $\mathrm{NGr}(1,4,5)$ is given and the structure of the first fundamental object $H^1(\mathrm{NGr}(1,4,5))$ is considered. In § 2 an another non-holonomic hypercomplex, a semi-non-holonomic pseudocongruence and a semi-non-holonomic congruence asstciated to the given non-holonomic hypercomplex are obtained. In § 3 it is proved that $H^1(\mathrm{NGr}(1,4,5))$ is the principal object (see G. F. Laptev [11]) of $\mathrm{NGr}(1,4,5)$.

UDC: 513.015.23:513.7



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