Abstract
In this paper we study non-degenerate locally symmetric complex affine hypersurfaces Mn of the complex affine space, i.e. hypersurfaces satisfying ▽R=0, where ▽ is the affine connection induced on Mn by the complex affine structure on the complex affine space, and R is the curvature tensor of ▽. We classify the non-degenerate locally symmetric hypersurfaces Mn, n > 2, and the minimal non-degenerate locally symmetric hypersurfaces Mn, n > 1.
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