MURAL - Maynooth University Research Archive Library



    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

    [img]
    Preview
    Download (4MB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    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:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year

    Origin of downloads