Affine surfaces with parallel shape operators
Volume 56 / 1992
Annales Polonici Mathematici 56 (1992), 179-186
DOI: 10.4064/ap-56-2-179-186
Abstract
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.
