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

Samuel Blitz

公開日: 2025/9/24

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.

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