Holography of Higher Codimension Submanifolds: Riemannian and Conformal

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• ISSN: 1815-0659
• Main Authors: Blitz, Samuel, Šilhan, Josef
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212889
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Holography of Higher Codimension Submanifolds: Riemannian and Conformal. Samuel Blitz and Josef Šilhan. SIGMA 21 (2025), 002, 41 pages

We provide a natural generalization to submanifolds of the holographic method used to extract higher-order local invariants of both Riemannian and conformal embeddings, some of which depend on a choice of parallelization of the normal bundle. Qualitatively new behavior is observed in the higher-codi...