Detail publikačního výsledku

On the concircular vector fields of spaces with affine connection

HINTERLEITNER, I.; CHEPURNA, O.; BEREZOVSKI, V.; MIKEŠ, J.

Originální název

On the concircular vector fields of spaces with affine connection

Anglický název

On the concircular vector fields of spaces with affine connection

Druh

Článek Scopus

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.

Anglický 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

Klíčová slova v angličtině

concircular vector field, smoothness class, fundamental equation, manifold with affine connection

Autoři

HINTERLEITNER, I.; CHEPURNA, O.; BEREZOVSKI, V.; MIKEŠ, J.

Rok RIV

2018

Vydáno

03.04.2017

Nakladatel

University of Nyíregyháza, Institute of Mathematics and Computer Science,

Místo

Nyíregyháza, Hungary

ISSN

0866-0182

Periodikum

Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis

Svazek

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"
}