Locally symmetric affine hypersurfaces-Reference-Cited by-同舟云学术

Locally symmetric affine hypersurfaces

Published:1985 Issue:1 Volume:93 Page:101-105
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Verheyen P.,Verstraelen L.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1985-093-01/S0002-9939-1985-0766537-2/S0002-9939-1985-0766537-2.pdf

Reference7 articles.

1. Die Grundgleichungen der Hyperflächen im Euklidischen 𝑅_{𝑛+1} gegenüber den inhaltstreuen Affinitäten;Berwald, L.;Monatsh. Math. Phys.,1922

2. W. Blaschke, Vorlesungen über Differentialgeometrie, Chelsea, New York, 1967.

3. Géométrie différentielle affine des hypersurfaces;Calabi, E.,1981

4. Affine minimal hypersurfaces;Chern, Shiing Shen,1979

5. Local theory of affine hypersurfaces;Flanders, Harley;J. Analyse Math.,1965

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