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HINTERLEITNER, I. CHEPURNA, O. BEREZOVSKI, V. MIKEŠ, J.
Originální název
On the concircular vector fields of spaces with affine connection
Typ
článek v časopise ve Scopus, Jsc
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
concircular vector field, smoothness class, fundamental equation, manifold with affine connection
Autoři
HINTERLEITNER, I.; CHEPURNA, O.; BEREZOVSKI, V.; MIKEŠ, J.
Vydáno
3. 4. 2017
Nakladatel
University of Nyíregyháza, Institute of Mathematics and Computer Science,
Místo
Nyíregyháza, Hungary
ISSN
0866-0182
Periodikum
Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis
Ročník
33
Číslo
1
Stát
Maďarsko
Strany od
53
Strany do
60
Strany počet
8
URL
http://www.emis.de/journals/AMAPN/vol33_1/index.html
BibTex
@article{BUT134661, author="Irena {Hinterleitner} and Olena {Chepurna} and Vladimir {Berezovski} and Josef {Mikeš}", title="On the concircular vector fields of spaces with affine connection", journal="Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis", year="2017", volume="33", number="1", pages="53--60", issn="0866-0182", url="http://www.emis.de/journals/AMAPN/vol33_1/index.html" }