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Geodesic Mappings Onto Riemannian Manifolds and Differentiability

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F17%3APU121811" target="_blank" >RIV/00216305:26110/17:PU121811 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.7546/giq-18-2017-183-190" target="_blank" >http://dx.doi.org/10.7546/giq-18-2017-183-190</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.7546/giq-18-2017-183-190" target="_blank" >10.7546/giq-18-2017-183-190</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Geodesic Mappings Onto Riemannian Manifolds and Differentiability

  • Original language description

    In this paper we study fundamental equations of geodesic mappings of manifolds with affine connection onto (pseudo-) Riemannian manifolds. We proved that if a manifolds with affine (or projective) connection of differentiability class C^r, where r great than or equal 2 admits a geodesic mapping onto a (pseudo-)Riemannian manifolds of diferentiable class, then this manifolds belongs to the differentiability class C^(r+1).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science 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

    Proceedings of the Seventeenth International Conference on Geometry, Integrability and Quantization

  • ISSN

    1314-3247

  • e-ISSN

  • Volume of the periodical

    neuveden

  • Issue of the periodical within the volume

    17

  • Country of publishing house

    BG - BULGARIA

  • Number of pages

    8

  • Pages from-to

    183-190

  • UT code for WoS article

    000435119200009

  • EID of the result in the Scopus database