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Minimal surfaces in S 3 with constant contact angle

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Abstract

We provide a characterization of the Clifford Torus in S 3 via moving frames and contact structure equations. More precisely, we prove that minimal surfaces in S 3 with constant contact angle must be the Clifford Torus. Some applications of this result are then given, and some examples are discussed.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal da Paraíba, João Pessoa, PB, 58051-900, Brazil

    Rodrigo Ristow Montes & Jose A. Verderesi

  2. Departamento de Matemática Pura, Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, São Paulo, SP, 05315-970, Brazil

    Rodrigo Ristow Montes & Jose A. Verderesi

Authors
  1. Rodrigo Ristow Montes
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  2. Jose A. Verderesi
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Correspondence to Rodrigo Ristow Montes.

Additional information

Communicated by D. V. Alekseevsky.

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Montes, R.R., Verderesi, J.A. Minimal surfaces in S 3 with constant contact angle. Monatsh Math 157, 379–386 (2009). https://doi.org/10.1007/s00605-008-0019-5

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  • DOI: https://doi.org/10.1007/s00605-008-0019-5

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