Higher Willmore Energies from tractor coupled GJMS operators
| Autor: | Allen, Ben F., Gover, Rod |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 29 pages |
| Databáze: | arXiv |
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