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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

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

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • CEP classification

  • 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

  • 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

  • EID of the result in the Scopus database

    2-s2.0-85016314798