Modified conformal extensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00133324" target="_blank" >RIV/00216224:14310/23:00133324 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10455-023-09918-9" target="_blank" >https://link.springer.com/article/10.1007/s10455-023-09918-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10455-023-09918-9" target="_blank" >10.1007/s10455-023-09918-9</a>

Result language
angličtina
Original language name
Modified conformal extensions
Original language description
We present a geometric construction and characterization of 2n-dimensional split-signature conformal structures endowed with a twistor spinor with integrable kernel. The construction is regarded as a modification of the conformal Patterson-Walker metric construction for n-dimensional projective manifolds. The characterization is presented in terms of the twistor spinor and an integrability condition on the conformal Weyl curvature. We further derive a complete description of Einstein metrics and infinitesimal conformal symmetries in terms of suitable projective data. Finally, we obtain an explicit geometrically constructed Fefferman-Graham ambient metric and show the vanishing of the Q-curvature.
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/GA19-06357S" target="_blank" >GA19-06357S: Geometric structures, differential operators and symmetries</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

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