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HINTERLEITNER, I. CHEPURNA, O. BEREZOVSKI, V. MIKEŠ, J.
Original Title
On the concircular vector fields of spaces with affine connection
Type
journal article in Scopus
Language
English
Original Abstract
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.
Keywords
concircular vector field, smoothness class, fundamental equation, manifold with affine connection
Authors
HINTERLEITNER, I.; CHEPURNA, O.; BEREZOVSKI, V.; MIKEŠ, J.
Released
3. 4. 2017
Publisher
University of Nyíregyháza, Institute of Mathematics and Computer Science,
Location
Nyíregyháza, Hungary
ISBN
0866-0182
Periodical
Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis
Year of study
33
Number
1
State
Hungary
Pages from
53
Pages to
60
Pages count
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" }