Affine hypersurfaces with the Ricci semi-symmetry |
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| Authors: | Yoshio Matsuyama |
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| Institution: | 1. Department of Mathematics, Chuo University, 1-13-27 Kasuga, Bunkyo-ku, Tokyo, 112-8551, Japan
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| Abstract: | The purpose of the present paper is to prove that either a proper affine hypersphere or an affine cylindrical (See Introduction) is the only nondegenerate affine hypersurface of affine space with torsion free affine connection which satisfies the Ricci semi-symmetry and to study the equivalence of semi-symmetric and Ricci semi-symmetric in the case of affine hypersurfaces |
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