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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Locally symmetric affine hypersurfaces


Authors: P. Verheyen and L. Verstraelen
Journal: Proc. Amer. Math. Soc. 93 (1985), 101-105
MSC: Primary 53C40; Secondary 53A15
DOI: https://doi.org/10.1090/S0002-9939-1985-0766537-2
MathSciNet review: 766537
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Abstract: The nondegenerate quadratic hypersurfaces and the improper affine hyperspheres are the only nondegenerate hypersurfaces of dimension greater than two of an affine space which are affine locally symmetric with respect to their induced connection.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0766537-2
Keywords: Nondegenerate affine hypersurfaces, quadratic hypersurfaces, affine hyperspheres, affine locally symmetric spaces
Article copyright: © Copyright 1985 American Mathematical Society