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    Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces


    Bechtluft-Sachs, Stefan and Samiou, Evangelia (2019) Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces. Journal of Mathematical Physics, 60 (111503). ISSN 0022-2488

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    Abstract

    We construct radial fundamental solutions for the differential form Laplacian on negatively curved symmetric spaces. At least, one of these Green’s functions also yields a Biot-Savart operator, i.e., a right inverse of the exterior differential on closed forms with image in the kernel of the codifferential. Any Biot-Savart operator gives rise to a Gauss linking integral.

    Item Type: Article
    Additional Information: Cite as: Stefan Bechtluft-Sachs and Evangelia Samiou , "Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces", J. Math. Phys. 60, 111503 (2019) https://doi.org/10.1063/1.5109244
    Keywords: Green’s functions; Biot-Savart operators; linking numbers; negatively curved symmetric spaces;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 15510
    Identification Number: https://doi.org/10.1063/1.5109244
    Depositing User: Stefan Bechtluft-Sachs
    Date Deposited: 15 Feb 2022 15:24
    Journal or Publication Title: Journal of Mathematical Physics
    Publisher: American Institute of Physics
    Refereed: Yes
    URI:

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