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Almost geodesic mappings of affinely connected spaces that preserve the riemannian curvature

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33157853" target="_blank" >RIV/61989592:15310/15:33157853 - isvavai.cz</a>

  • Result on the web

    <a href="http://ami.ektf.hu/uploads/papers/finalpdf/AMI_45_from3to10.pdf" target="_blank" >http://ami.ektf.hu/uploads/papers/finalpdf/AMI_45_from3to10.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Almost geodesic mappings of affinely connected spaces that preserve the riemannian curvature

  • Original language description

    In the present paper the authors give some conditions preserved Riemannian curvature tensor with respect to almost geodesic mappings of affinely connected spaces. It is noteworthy that these conditions are valid for other types of mappings. For the almost geodesic mappings of first type, when the Riemannian curvature tensor is invariant, the authors deduce a differential equations system of Cauchy type. In addition the authors investigate almost geodesic mappings of first type, where the Weyl tensor ofprojective curvature is invariant and Riemannian tensor is not invariant.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Annales Mathematicae et Informaticae

  • ISSN

    1787-5021

  • e-ISSN

  • Volume of the periodical

    45

  • Issue of the periodical within the volume

    SEP

  • Country of publishing house

    HU - HUNGARY

  • Number of pages

    8

  • Pages from-to

    3-10

  • UT code for WoS article

  • EID of the result in the Scopus database