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Sequences of minimal surfaces in S 2n+1

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Abstract

For a minimal surface immersed into an odd-dimensional unit sphere S 2n+1 with the first (n−2) higher-order ellipses of curvature being a circle, we construct a sequence of such surfaces and investigate if some two minimal surfaces in such a sequence can be congruent by an orientation-reversing isometry.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, University of Belgrade, Studentski trg 16, pb. 550, 11000, Belgrade, Serbia

    Miroslava Antić

  2. LAMATH, ISTV2, Université de Valenciennes, Campus du Mont Houy, 59313, Valenciennes Cedex 9, France

    Luc Vrancken

Authors
  1. Miroslava Antić
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  2. Luc Vrancken
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Corresponding author

Correspondence to Miroslava Antić.

Additional information

Research partially supported by the Ministry of Science and Technological Development of Serbia, project 144032.

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Antić, M., Vrancken, L. Sequences of minimal surfaces in S 2n+1 . Isr. J. Math. 179, 493–508 (2010). https://doi.org/10.1007/s11856-010-0091-0

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  • DOI: https://doi.org/10.1007/s11856-010-0091-0

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