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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 11, Pages 24–42 (Mi ivm4253)  
This article is cited in 5 scientific papers (total in 5 papers)

Differentiable mappings of affine spaces into manifolds of $m$-planes in a multidimensional Euclidean space

E. T. Ivlev, E. A. Moldovanova

Chair of Higher Mathematics, Tomsk Polytechnic University, Tomsk, Russia
Full-text PDF (278 kB) Citations (5)
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Abstract: In this paper we consider a differentiable mapping of a $p$-dimensional affine space into the differentiable manifold $\mathfrak M_N$ of all centered $m$-planes in the $n$-dimensional Euclidean space. We pay the special attention to describing geometric images defined by the fundamental geometric object of a certain mapping.
Keywords: Euclidean space, affine space, differentiable manifold, differentiable mapping, Cauchy–Riemann conditions, fundamental geometric object.
Received: 17.07.2007
Revised: 28.01.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 11, Pages 20–36
DOI: https://doi.org/10.3103/S1066369X09110048
Bibliographic databases:
UDC: 514.76
Language: Russian
Citation: E. T. Ivlev, E. A. Moldovanova, “Differentiable mappings of affine spaces into manifolds of $m$-planes in a multidimensional Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 11, 24–42; Russian Math. (Iz. VUZ), 53:11 (2009), 20–36
Citation in format AMSBIB
\Bibitem{IvlMol09}
\by E.~T.~Ivlev, E.~A.~Moldovanova
\paper Differentiable mappings of affine spaces into manifolds of $m$-planes in a~multidimensional Euclidean space
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 11
\pages 24--42
\mathnet{http://mi.mathnet.ru/ivm4253}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2657238}
\zmath{https://zbmath.org/?q=an:1181.53018}
\elib{https://elibrary.ru/item.asp?id=12869349}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 11
\pages 20--36
\crossref{https://doi.org/10.3103/S1066369X09110048}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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