Differentiable mapping of affine Qn and projective Pn spaces

The authors have studies the fields of invariant geometric images occurring when mapping affine space into projective space. Using these geometric images it is shown that the affine space mappings into manifolds of degenerate and non degenerate null-pairs of projective space occur in invariant way w...

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Main Authors: M. A. Al-Khassani, E. A. Moldovanova
Format: Article
Language:Russian
Published: Tomsk Polytechnic University 2009-06-01
Series:Известия Томского политехнического университета: Инжиниринг георесурсов
Subjects:
Online Access:http://izvestiya-tpu.ru/archive/article/view/1078
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author M. A. Al-Khassani
E. A. Moldovanova
author_facet M. A. Al-Khassani
E. A. Moldovanova
author_sort M. A. Al-Khassani
collection DOAJ
description The authors have studies the fields of invariant geometric images occurring when mapping affine space into projective space. Using these geometric images it is shown that the affine space mappings into manifolds of degenerate and non degenerate null-pairs of projective space occur in invariant way with the mapping considered.
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spelling doaj.art-d48bc59559204736aecc21ee45314a542023-06-03T21:13:46ZrusTomsk Polytechnic UniversityИзвестия Томского политехнического университета: Инжиниринг георесурсов2500-10192413-18302009-06-013232Differentiable mapping of affine Qn and projective Pn spacesM. A. Al-KhassaniE. A. MoldovanovaThe authors have studies the fields of invariant geometric images occurring when mapping affine space into projective space. Using these geometric images it is shown that the affine space mappings into manifolds of degenerate and non degenerate null-pairs of projective space occur in invariant way with the mapping considered.http://izvestiya-tpu.ru/archive/article/view/1078differentiable mappingmultidimensional spaceslinear subspacesgeometrical objects
spellingShingle M. A. Al-Khassani
E. A. Moldovanova
Differentiable mapping of affine Qn and projective Pn spaces
Известия Томского политехнического университета: Инжиниринг георесурсов
differentiable mapping
multidimensional spaces
linear subspaces
geometrical objects
title Differentiable mapping of affine Qn and projective Pn spaces
title_full Differentiable mapping of affine Qn and projective Pn spaces
title_fullStr Differentiable mapping of affine Qn and projective Pn spaces
title_full_unstemmed Differentiable mapping of affine Qn and projective Pn spaces
title_short Differentiable mapping of affine Qn and projective Pn spaces
title_sort differentiable mapping of affine qn and projective pn spaces
topic differentiable mapping
multidimensional spaces
linear subspaces
geometrical objects
url http://izvestiya-tpu.ru/archive/article/view/1078
work_keys_str_mv AT maalkhassani differentiablemappingofaffineqnandprojectivepnspaces
AT eamoldovanova differentiablemappingofaffineqnandprojectivepnspaces