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
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)
 |
Item control page |
Downloads per month over past year
Origin of downloads
Altmetric
Altmetric