Non-existence of higher-order conformal fundamental forms in odd dimensions
Differential Geometry
2025-09-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2509.20554,
title = {Non-existence of higher-order conformal fundamental forms in odd dimensions},
author = {Samuel Blitz},
journal= {arXiv preprint arXiv:2509.20554},
year = {2025}
}
Comments
9 pages, comments welcome