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.
@article{bwmeta1.element.bwnjournal-article-apmv56z2p179bwm,
author = {W\l odzimierz Jelonek},
title = {Affine surfaces with parallel shape operators},
journal = {Annales Polonici Mathematici},
volume = {57},
year = {1992},
pages = {179-186},
zbl = {0765.53007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv56z2p179bwm}
}
Włodzimierz Jelonek. Affine surfaces with parallel shape operators. Annales Polonici Mathematici, Tome 57 (1992) pp. 179-186. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv56z2p179bwm/
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