On the concircular vector fields of spaces with affine connection
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F17%3APU123227" target="_blank" >RIV/00216305:26110/17:PU123227 - isvavai.cz</a>
Result on the web
<a href="http://www.emis.de/journals/AMAPN/vol33_1/index.html" target="_blank" >http://www.emis.de/journals/AMAPN/vol33_1/index.html</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the concircular vector fields of spaces with affine connection
Original language description
In this paper we study concircular vector fields of spaces with affine connection. We found the fundamental equation of these fields for the minimal requirements on the differentiability of the connection. The maximal numbers of linearly independent fields (with constant coefficients) is equal to (n+1) and is realized only on projective flat spaces. Further we found a criterion on the Weyl tensor of the projective curvature of spaces, in which exist exactly (n-1) independent concircular vector fields.
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
<a href="/en/project/LO1408" target="_blank" >LO1408: AdMaS UP – Advanced Building Materials, Structures and Technologies</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis
ISSN
0866-0182
e-ISSN
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Volume of the periodical
33
Issue of the periodical within the volume
1
Country of publishing house
HU - HUNGARY
Number of pages
8
Pages from-to
53-60
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85016314798