Geodesic
Affine surfaces with parallel shape operators
Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 179-186

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We study affine nondegenerate Blaschke hypersurfaces whose shape operators are parallel with respect to the induced Blaschke connections. We classify such surfaces and thus give an exact classification of extremal locally symmetric surfaces, first described by F. Dillen.
DOI : 10.4064/ap-56-2-179-186
Keywords: Blaschke structure, affine locally symmetric surface, affine shape operator, equiaffine structure, affine normal field 
Włodzimierz Jelonek. Affine surfaces with parallel shape operators. Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 179-186. doi: 10.4064/ap-56-2-179-186
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