The gap phenomenon for conformally related Einstein metrics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00139604" target="_blank" >RIV/00216224:14310/24:00139604 - isvavai.cz</a>
Alternative codes found
RIV/61988987:17310/24:A25038YX
Result on the web
<a href="https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.13128" target="_blank" >https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.13128</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/blms.13128" target="_blank" >10.1112/blms.13128</a>
Alternative languages
Result language
angličtina
Original language name
The gap phenomenon for conformally related Einstein metrics
Original language description
We determine the submaximal dimensions of the spaces of almost Einstein scales and normal conformal Killing fields for connected conformal manifolds. The results depend on the signature and dimension n of the conformally nonflat conformal manifold. In definite signature, these two dimensions are at most n-3 and (n-4)(n-3)/2, respectively. In Lorentzian signature, these two dimensions are at most n-2 and (n-3)(n-2)/2, respectively. In the remaining signatures, these two dimensions are at most n-1 and (n-2)(n-1)/2, respectively. This upper bound is sharp and to realize examples of submaximal dimensions, we first provide them directly in dimension 4. In higher dimensions, we construct the submaximal examples as the (warped) product of the (pseudo)-Euclidean base of dimension n-4 with one of the 4-dimensional submaximal examples.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GX19-28628X" target="_blank" >GX19-28628X: Homotopy and Homology Methods and Tools Related to Mathematical Physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN
0024-6093
e-ISSN
1469-2120
Volume of the periodical
56
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
3209-3228
UT code for WoS article
001294892400001
EID of the result in the Scopus database
2-s2.0-85201665456