On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space

In this paper the differential geometry of semi-non-holonomic hypercomplexes in n-dimensional affine space is constructed in an invariant analytic form. The differential neighbourhoods of first two orders are studied. In some cases the geometrical constructions of intrinsic normalizations (the Cart...

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Main Author: Janina Staišienė
Format: Article
Language:English
Published: Vilnius University Press 1998-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://ojs.test/index.php/LMR/article/view/37809
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author Janina Staišienė
author_facet Janina Staišienė
author_sort Janina Staišienė
collection DOAJ
description In this paper the differential geometry of semi-non-holonomic hypercomplexes in n-dimensional affine space is constructed in an invariant analytic form. The differential neighbourhoods of first two orders are studied. In some cases the geometrical constructions of intrinsic normalizations (the Cartan norma­lizations ant the Bortolotti normalizations) are given.
format Article
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institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 1998-12-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-8ef392730c9743c288065d58359104272025-01-03T06:37:59ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1998-12-0138II10.15388/LMD.1998.37809On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space Janina Staišienė0Vilnius Pedagogical University In this paper the differential geometry of semi-non-holonomic hypercomplexes in n-dimensional affine space is constructed in an invariant analytic form. The differential neighbourhoods of first two orders are studied. In some cases the geometrical constructions of intrinsic normalizations (the Cartan norma­lizations ant the Bortolotti normalizations) are given. https://ojs.test/index.php/LMR/article/view/37809
spellingShingle Janina Staišienė
On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space
Lietuvos Matematikos Rinkinys
title On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space
title_full On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space
title_fullStr On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space
title_full_unstemmed On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space
title_short On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space
title_sort on intrinsic normalizations of semi non holonomic hypercomplexes sngr 1 n 2n 3 in affine space
url https://ojs.test/index.php/LMR/article/view/37809
work_keys_str_mv AT janinastaisiene onintrinsicnormalizationsofseminonholonomichypercomplexessngr1n2n3inaffinespace