Geodesic
On affine immersions with flat connections
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012) no. 1, pp. 90-105
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In this paper, the multidimensional affine immersions with flat connections of maximal pointwise codimension are studied. The estimates on the dimensions of kernel and the image of the shape (Weingarten) operator and the affine fundamental form are obtained. Some properties of nullity distributions on the immersed submanifold are considered and the examples of affine immersions of high codimension with flat connection are given. 
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O. O. Shugailo. On affine immersions with flat connections. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012) no. 1, pp. 90-105. http://geodesic.mathdoc.fr/item/JMAG_2012_8_1_a5/

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