Conformal Fedosov structure in symmetric and recurrent (pseudo-)Riemannian spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633789" target="_blank" >RIV/61989592:15310/25:73633789 - isvavai.cz</a>
Result on the web
<a href="http://geometry.inrne.bas.bg/proceedings/Proceedings_files/vol32/Peska_Abs.pdf" target="_blank" >http://geometry.inrne.bas.bg/proceedings/Proceedings_files/vol32/Peska_Abs.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7546/giq-32-2025-59-69" target="_blank" >10.7546/giq-32-2025-59-69</a>
Alternative languages
Result language
angličtina
Original language name
Conformal Fedosov structure in symmetric and recurrent (pseudo-)Riemannian spaces
Original language description
In this article we prove that symmetric and recurrent pseudo-Riemannian manifolds with non-constant curvature do not admit conformal Fedosov structures. The non-existence result extends also to pseudo-Riemannian manifolds of non-constant curvature whose Riemann curvature tensor possesses a special form resembling that of constant curvature. As a typical example, Kagan subprojective spaces fall into this class.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
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
Geometry, Integrability and Quantization
ISSN
1314-3247
e-ISSN
2367-7147
Volume of the periodical
32
Issue of the periodical within the volume
DEC
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
59-69
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-105019689050