Cnformally geodesic mappings satisfied the initial condition.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A33116754" target="_blank" >RIV/61989592:15310/11:33116754 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Cnformally geodesic mappings satisfied the initial condition.
Original language description
In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds (M, g) and (M*,g*). Suppose that the initial condition g*(f(x))= k g(x) is satisfied at a point x and that at this point the conformal Weyl tensor does not vanish. We prove that then f is necessarily conformal.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archivum Mathematicum
ISSN
0044-8753
e-ISSN
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Volume of the periodical
47
Issue of the periodical within the volume
5
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
6
Pages from-to
389-394
UT code for WoS article
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EID of the result in the Scopus database
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