Publication details
NON-EXISTENCE OF HIGHER-ORDER CONFORMAL FUNDAMENTAL FORMS IN ODD DIMENSIONS
| Authors | |
|---|---|
| Year of publication | 2026 |
| Type | Peer-reviewed scientific article |
| Magazine / Source | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
| MU Faculty or unit | |
| Citation | |
| web | https://pubs.ams.org/PROC/2026-154-10/S0002-9939-2026-17745-6 |
| Doi | https://doi.org/10.1090/proc/17745 |
| Keywords | Conformal geometry; extrinsic conformal geometry and hypersurface embeddings; conformally compact |
| Description | Conformal fundamental forms populate a minimal generating set for low differential order invariants of conformal hypersurface embeddings. In this work we complete the characterization of conformal fundamental forms by proving the general non-existence of higher-order conformal fundamental forms when the embedded hypersurface is even dimensional. |