Hypersurfaces with parallel affine curvature tensor R*

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Title

Authors ¹, ²

Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Dept. Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B B, 3030 Leuven, Belgium

In [OV] we introduced an affine curvature tensor R*. Using it we characterized some types of hypersurfaces in the affine space

ℝ^{n + 1}

. In this paper we study hypersurfaces for which R* is parallel relative to the induced connection.

curvature tensor, induced connection, affine normal

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