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A Further Characterization Of Ellipsoids

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Abstract

In this note we extend a characterization of ellipsoids given in [6, Theorem 3.1.2.7], which is related to the classical characterization of ellipsoids as the only ovaloids with constant r-th affine mean curvature.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Murcia, E-30100 Espinardo, Murcia, Spain

    Luis J. Alías

  2. Departamento de Matemática, Universidade Federal do Ceará, Campus do Pici, 60455-760, Fortaleza-Ce, Brazil

    A. Gervasio Colares

Authors
  1. Luis J. Alías
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  2. A. Gervasio Colares
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Corresponding author

Correspondence to Luis J. Alías.

Additional information

L.J. Alías was supported by Grant PR2004-0253 from Secretaría de Estado de Educación y Universidades, MEC Spain

A.G. Colares was partially supported by CNPq, Brazil.

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Alías, L.J., Gervasio Colares, A. A Further Characterization Of Ellipsoids. Results. Math. 48, 1–8 (2005). https://doi.org/10.1007/BF03322891

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