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Improper affine hyperspheres with self-congruent center map

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Abstract.

In this paper, we study n-dimensional improper affine spheres of which the center map is congruent to the original immersion. We show how to construct such hypersurfaces starting from (n − 1)-dimensional proper elliptic affine hyperspheres. We also show that they correspond to solutions of the Monge-Ampère equations which are homogeneous of degree 2.

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Authors and Affiliations

  1. Université de Valenciennes, Le Mont Houy, France

    Houda Trabelsi

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  1. Houda Trabelsi
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Trabelsi, H. Improper affine hyperspheres with self-congruent center map. Mh Math 152, 73–81 (2007). https://doi.org/10.1007/s00605-007-0473-5

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  • DOI: https://doi.org/10.1007/s00605-007-0473-5

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