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A Representation Formula for Non-conformal Harmonic Surfaces in \(\varvec{R}^{\mathbf{3}}\)

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Abstract

We discuss non-conformal harmonic surfaces in \(R^3\) with prescribed (±)transforms, and we get a representation formula for non-conformal harmonic surfaces in \(R^3\).

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Authors and Affiliations

  1. Tutorial Services, Faculty of Engineering Science, KU Leuven, Celestijnenlaan 200i, Box 2201, 3001, Louvain, Belgium

    Bart Dioos

  2. Graduate School of Science and Technology, Hirosaki University, Hirosaki, 036-8561, Japan

    Makoto Sakaki

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  1. Bart Dioos
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  2. Makoto Sakaki
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Correspondence to Makoto Sakaki.

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Dioos, B., Sakaki, M. A Representation Formula for Non-conformal Harmonic Surfaces in \(\varvec{R}^{\mathbf{3}}\). Results Math 74, 35 (2019). https://doi.org/10.1007/s00025-019-0970-6

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  • DOI: https://doi.org/10.1007/s00025-019-0970-6

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