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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: | 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 |
| Related URLs: | |
| 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 |
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