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About a family of deformations of the Costa-Hoffman-Meeks surfaces

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Abstract

We show the existence of a family of minimal surfaces obtained by deformations of the Costa-Hoffman-Meeks surface of genus k ⩾ 1, M k . These surfaces are obtained varying the logarithmic growths of the ends and the directions of the axes of revolution of the catenoidal type ends of M k . Also we obtain a result about the non degeneracy property of the surface M k .

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Authors and Affiliations

  1. Laboratoire d’Analyse et Mathématiques Appliquées, Université Paris-Est Marne-la-Vallée, 5 blvd Descartes, 77454, Champs-sur-Marne, France

    Filippo Morabito

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  1. Filippo Morabito
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Correspondence to Filippo Morabito.

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Morabito, F. About a family of deformations of the Costa-Hoffman-Meeks surfaces. Bull Braz Math Soc, New Series 40, 433–454 (2009). https://doi.org/10.1007/s00574-009-0020-1

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  • DOI: https://doi.org/10.1007/s00574-009-0020-1

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