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The Centroaffine Tchebychev Operator

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Abstract

In this paper we study an interesting operator, the Tchebychev operator, which has properties similar to the shape operator in Euclidean differential geometry and equiaftine differential geometry, respectively.

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Authors and Affiliations

  1. Technische Universität Berlin, FB 3-Mathematik, MA 8-3, 10623, Berlin

    Huili Liu

  2. Department of Mathematics, Northeast University Liaoning, Shenyang, 110006, P.R.China

    Huili Liu

  3. Changping Wang Technische Universität Berlin, FB 3-Mathematik, MA 8-3, 10623, Berlin

    Changping Wang

  4. Nankai Institute of Mathematics, Nankai University, Tianjin, 300071, P. R. China

    Changping Wang

Authors
  1. Huili Liu
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  2. Changping Wang
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Correspondence to Huili Liu.

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Dedicated to Professor K. Nomizu on the occasion of his 70. birthday

Supported by the DFG-project “Affine Differential Geometry” at the TU Berlin and supported by GADGET for the Leuven Conference

Partially supported by the DFG-project “Affine Differential Geometry” at the TU Berlin and supported by GADGET for the Leuven Conference

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Liu, H., Wang, C. The Centroaffine Tchebychev Operator. Results. Math. 27, 77–92 (1995). https://doi.org/10.1007/BF03322271

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  • DOI: https://doi.org/10.1007/BF03322271

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