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Trudy Geometricheskogo Seminara, 1973, Volume 4, Pages 71–120
(Mi intg39)
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This article is cited in 1 scientific paper (total in 1 paper)
Distribution of hyperplane elements in a projective space
N. M. Ostianu
Abstract:
In a previous paper [10] the theory of $m$-distributions in $n$-spaces was studied, the case $m=n-1$ being excluded. The purpose of this paper is to study this ease formerly omitted. The geometry of $(n-1)$-distributions in $P_n$ is constructed in an invariant analytic form. The differential neighbourhoods of first four orders are studied. Many geometric objects, subordinated to the fundamental objects are found and, as a rule, their geometric meaning is elucidated. Excluding p. 4 of § 3 no assumption about the non-vanishing of the non-holonomity tensor is made, so the results can also be applied to holonomic distributions. As an exemple the case $n=2$ is treated (§ 6).
Citation:
N. M. Ostianu, “Distribution of hyperplane elements in a projective space”, Tr. Geom. Sem., 4, VINITI, Moscow, 1973, 71–120
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https://www.mathnet.ru/eng/intg39 https://www.mathnet.ru/eng/intg/v4/p71
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Abstract page: | 303 | Full-text PDF : | 141 |
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