Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.01835 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916552982396928 |
|---|---|
| author | Allen, Ben F. Gover, Rod |
| author_facet | Allen, Ben F. Gover, Rod |
| contents | We define and construct a conformally invariant energy for closed smoothly immersed submanifolds of even dimension, but of arbitrary codimension, in conformally flat Riemannian manifolds. This is a higher dimensional analogue of the Willmore energy for immersed surfaces and is given directly via a coupling of the tractor connection to the (submanifold critical) GJMS operators. In the case where the submanifold is of dimension 4 we compare this to other energies, including one found using a second simple construction that uses $Q$-operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01835 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher Willmore Energies from tractor coupled GJMS operators Allen, Ben F. Gover, Rod Differential Geometry We define and construct a conformally invariant energy for closed smoothly immersed submanifolds of even dimension, but of arbitrary codimension, in conformally flat Riemannian manifolds. This is a higher dimensional analogue of the Willmore energy for immersed surfaces and is given directly via a coupling of the tractor connection to the (submanifold critical) GJMS operators. In the case where the submanifold is of dimension 4 we compare this to other energies, including one found using a second simple construction that uses $Q$-operators. |
| title | Higher Willmore Energies from tractor coupled GJMS operators |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2411.01835 |