Non-existence of higher-order conformal fundamental forms in odd dimensions

Samuel Blitz

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arXiv · 2509.20554

Non-existence of higher-order conformal fundamental forms in odd dimensions

Samuel Blitz

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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.

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Samuel Blitz. 2025-09-24. Non-existence of higher-order conformal fundamental forms in odd dimensions. https://arxiv.org/abs/2509.20554

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