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SOOCHOW JOURNAL OF MATHEMATICS

Volume 33, No. 4, pp. 903-927, October 2007




CLASSIFICATION OF AFFINE SURFACES SATISFYING

$ R.\nabla S = 0$


BY


LUCIUS RAMIFIDISOA




Abstract. In this paper, we study curvature conditions for the affine shape operator for the affine surfaces in $ {\Bbb{R}}^3$. In particular the affine surface with $ R.\nabla S = 0$.

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Received September 6, 2006; revised February 17, 2007.