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Conformal structure in affine geometry: Complete tchebychev hypersurfaces

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Abstract

We give a conformal classification of affine-complete centroaffine Tchebychev hypersurfaces recently introduced by Liu and Wang. This classification is based on partial differential equations known from conformal Riemannian geometry. Moreover we investigate Tchebychev hyperovaloids and generalize the classical theorem of Blaschke and Deicke on affine hyperspheres.

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Authors and Affiliations

  1. Technische Universität Berlin, FB 3-Mathematik, MA 8-3, Straße des 17. Juni 136, 10623, Berlin, Germany

    H. L. Liu, U. Simon & C. P. Wang

Authors
  1. H. L. Liu
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  2. U. Simon
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  3. C. P. Wang
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Liu, H.L., Simon, U. & Wang, C.P. Conformal structure in affine geometry: Complete tchebychev hypersurfaces. Abh.Math.Semin.Univ.Hambg. 66, 249–262 (1996). https://doi.org/10.1007/BF02940807

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  • DOI: https://doi.org/10.1007/BF02940807

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