Holography of Higher Codimension Submanifolds: Riemannian and Conformal
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00140521" target="_blank" >RIV/00216224:14310/25:00140521 - isvavai.cz</a>
Result on the web
<a href="https://www.emis.de/journals/SIGMA/2025/002/" target="_blank" >https://www.emis.de/journals/SIGMA/2025/002/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3842/SIGMA.2025.002" target="_blank" >10.3842/SIGMA.2025.002</a>
Alternative languages
Result language
angličtina
Original language name
Holography of Higher Codimension Submanifolds: Riemannian and Conformal
Original language description
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-co dimension case, giving rise to new invariants that obstruct the order-by-order construction of unit defining maps. In the conformal setting, a novel invariant (that vanishes in co dimension 1) is realized as the leading transverse- order term appearing in a holographically-constructed Willmore invariant. Using these same tools, we also investigate the formal solutions to extension problems off of an embedded submanifold.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Symmetry, Integrability and Geometry: Methods and Applications
ISSN
1815-0659
e-ISSN
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Volume of the periodical
21
Issue of the periodical within the volume
January
Country of publishing house
UA - UKRAINE
Number of pages
41
Pages from-to
1-41
UT code for WoS article
001389887200001
EID of the result in the Scopus database
2-s2.0-85215127638