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Degree theory on oriented infinite dimensional varieties and the Morse number of minimal surfaces spanning a curve in ℝn

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Abstract

The algebraic number of disc minimal surfaces spanning a wire in ℝ3 is defined and shown to be equal to one.

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Authors and Affiliations

  1. University of California at Santa Cruz, Bundesrepublik Deutschland

    Anthony Joseph Tromba

  2. Mathematisches Institut SFB 72, Universität Bonn, Bundesrepublik Deutschland

    Anthony Joseph Tromba

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  1. Anthony Joseph Tromba
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The author wishes to acknowledge the support of the NSF.

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Tromba, A.J. Degree theory on oriented infinite dimensional varieties and the Morse number of minimal surfaces spanning a curve in ℝn . Manuscripta Math 48, 139–161 (1984). https://doi.org/10.1007/BF01169005

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  • DOI: https://doi.org/10.1007/BF01169005

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