The intrinsic normalizations of a nonholonomic hypercomplex $NGr(1,4,5)$
Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 4 (1973), pp. 121-154
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This paper is a continuation of the paper by S. Grigelionis [2]. The study of the first neighbourhood of non-holonomic hypercomplex element of the projective space $P_4$ is continued (in the previous paper [2] a non-holonomic hypercomplex was called a non-holonomic complex), but the attention is paid mainly to problems of intrinsic normalizations of such non-holonomic hypercomplexes. So called intrinsic normal spaces of the first and the second kind, an intrinsic normal plane, an intrinsic normal line and some one-to-one correspondences between the normal spaces are obtained. The geometrical interpretations of all these objects and correspondences are given.
@article{INTG_1973_4_a2,
author = {V. I. Bliznikas and S. I. Grigelionis},
title = {The intrinsic normalizations of a~nonholonomic hypercomplex $NGr(1,4,5)$},
journal = {Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara},
pages = {121--154},
year = {1973},
volume = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTG_1973_4_a2/}
}
TY - JOUR AU - V. I. Bliznikas AU - S. I. Grigelionis TI - The intrinsic normalizations of a nonholonomic hypercomplex $NGr(1,4,5)$ JO - Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara PY - 1973 SP - 121 EP - 154 VL - 4 UR - http://geodesic.mathdoc.fr/item/INTG_1973_4_a2/ LA - ru ID - INTG_1973_4_a2 ER -
%0 Journal Article %A V. I. Bliznikas %A S. I. Grigelionis %T The intrinsic normalizations of a nonholonomic hypercomplex $NGr(1,4,5)$ %J Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara %D 1973 %P 121-154 %V 4 %U http://geodesic.mathdoc.fr/item/INTG_1973_4_a2/ %G ru %F INTG_1973_4_a2
V. I. Bliznikas; S. I. Grigelionis. The intrinsic normalizations of a nonholonomic hypercomplex $NGr(1,4,5)$. Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 4 (1973), pp. 121-154. http://geodesic.mathdoc.fr/item/INTG_1973_4_a2/