Toward a classification of conformal hypersurface invariants

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00134240" target="_blank" >RIV/00216224:14310/23:00134240 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1063/5.0147870" target="_blank" >https://doi.org/10.1063/5.0147870</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0147870" target="_blank" >10.1063/5.0147870</a>

Result language
angličtina
Original language name
Toward a classification of conformal hypersurface invariants
Original language description
Hypersurfaces embedded in conformal manifolds appear frequently as boundary data in boundary-value problems in cosmology and string theory. Viewed as the non-null conformal infinity of a spacetime, we consider hypersurfaces embedded in a Riemannian (or Lorentzian) conformal manifold. We construct a finite and minimal family of hypersurface tensors-the curvatures intrinsic to the hypersurface and the so-called "conformal fundamental forms"-that can be used to construct natural conformal invariants of the hypersurface embedding up to a fixed order in hypersurface-orthogonal derivatives of the bulk metric. We thus show that these conformal fundamental forms capture the extrinsic embedding data of a conformal infinity in a spacetime.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-00091S" target="_blank" >GA22-00091S: Geometric structures, invariance and differential equations related to mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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