Geodesic
Differentiable mappings of affine spaces into manifolds of $m$-planes in a~multidimensional Euclidean space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 24-42.

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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, differentiable manifold, differentiable mapping, fundamental geometric object.
Mots-clés : affine space, Cauchy–Riemann conditions 
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E. T. Ivlev; E. A. Moldovanova. Differentiable mappings of affine spaces into manifolds of $m$-planes in a~multidimensional Euclidean space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 24-42. http://geodesic.mathdoc.fr/item/IVM_2009_11_a3/

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