On a projectively minimal hypersurface in the unimodular affine space |
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| Authors: | T Sasaki |
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| Institution: | (1) Max-Planck-Institut für Mathematik, Gottfried-Claren-Strasse 26, 5300 Bonn 3, Germany;(2) Department of Mathematics, Kumamoto University, 860 Kumamoto, Japan |
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| Abstract: | We derive a differential equation defining a projectively minimal hypersurface in the affine space A
n+1. Several examples of such hypersurfaces are given. We prove that only an ellipsoid is a projectively minimal surface in A
3 which is compact and strongly convex. |
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| Keywords: | |
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