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.
[D]₁ R. Deszcz, Pseudosymmetry curvature conditions imposed on the shape operators of hypersurfaces in the affine space, Results Math. 20 (1991), 600-621.
[D]₂ R. Deszcz, Certain curvature characterizations of affine hypersurfaces, Colloq. Math. 63 (1992), 21-39.
[NS] K. Nomizu and T. Sasaki, Affine Differential Geometry, Cambridge Univ. Press, 1994.
[O] B. Opozda, A class of projectively flat surfaces, Math. Z. 219 (1995), 77-92.
[OS] B. Opozda and T. Sasaki, Surfaces whose images of affine normal are curves, Kyushu Math. J. 49 (1995), 1-10.
[OV] B. Opozda and L. Verstraelen, On a new curvature tensor in affine differential geometry, in: Geometry and Topology of Submanifolds II, World Sci., 1990, 271-293.
[VV] P. Verheyen and L. Verstraelen, Locally symmetric affine hypersurfaces, Proc. Amer. Math. Soc. 93 (1985), 101-105.
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