Affine surfaces with parallel shape operators
Annales Polonici Mathematici, Volume 56 (1991) no. 2, pp. 179-186
See the original article notice from the Institute of Mathematics Polish Academy of Sciences source
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.
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, Volume 56 (1991) no. 2, pp. 179-186. doi: 10.4064/ap-56-2-179-186
@article{10_4064_ap_56_2_179_186,
author = {W{\l}odzimierz Jelonek},
title = {Affine surfaces with parallel shape operators},
journal = {Annales Polonici Mathematici},
pages = {179--186},
year = {1991},
volume = {56},
number = {2},
doi = {10.4064/ap-56-2-179-186},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-56-2-179-186/}
}
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