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    Algebraic minimal surfaces in R4


    Small, Anthony (2004) Algebraic minimal surfaces in R4. Mathematica Scandinavica, 94 (1). pp. 109-124. ISSN 0025-5521

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    Abstract

    There exists a natural correspondence between null curves in C4 and "free" curves on O(1)⊕O(1); it underlies the existence of "Weierstrass type formulae" for minimal surfaces in R4. The construction determines correspondences for minimal surfaces in R3, and constant mean curvature 1 surfaces in H3; moreover it facilitates the study of symmetric minimal surfaces in R4.

    Item Type: Article
    Additional Information: Cite as: Small, A. (2004). Algebraic minimal surfaces in . MATHEMATICA SCANDINAVICA, 94(1), 109-124. https://doi.org/10.7146/math.scand.a-14432
    Keywords: Algebraic minimal surfaces; R4; null curves;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10099
    Identification Number: https://doi.org/10.7146/math.scand.a-14432
    Depositing User: Dr. Anthony Small
    Date Deposited: 15 Oct 2018 16:50
    Journal or Publication Title: Mathematica Scandinavica
    Publisher: Aarhus University, Aarhus
    Refereed: Yes
    URI:

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