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SO(2)-invariant minimal and constant mean curvature surfaces in 3-dimensional homogeneous spaces

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Abstract

We study SO(2)-invariant minimal and constant mean curvature surfaces in R3 endowed with a homogenous Riemannian metric whose group of isometries has dimension greater or equal to 4.

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Authors and Affiliations

  1. Dipartimento di Matematica, via Ospedale 72, I-09124, Cagliari, Italy

    Renzo Caddeo & Paola Piu

  2. Départment de Mathématiques, U.B.O. 6, Av. Le Gorgeu, BP 452, F-29275, Brest, France

    Andrea Ratto

Authors
  1. Renzo Caddeo
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  2. Paola Piu
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  3. Andrea Ratto
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Additional information

Work partially supported by 40% and 60% Italian M.U.R.S.T. funds.

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Caddeo, R., Piu, P. & Ratto, A. SO(2)-invariant minimal and constant mean curvature surfaces in 3-dimensional homogeneous spaces. Manuscripta Math 87, 1–12 (1995). https://doi.org/10.1007/BF02570457

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  • DOI: https://doi.org/10.1007/BF02570457

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