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Functional aquations for metric geodesic arcs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F02%3A00000098" target="_blank" >RIV/47813059:19610/02:00000098 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Functional aquations for metric geodesic arcs

  • Original language description

    The functional equations which make possible to generalize the notion of geodesics from smooth Riemannian manifold to arbitrary metric spaces are presented. Necessary and sufficient conditions for the set of all geodesics generated by some metric to be aset of generalized geodesic in the topological sense are derived. An example and a conterexample to such a situation are introduced.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F00%2F0724" target="_blank" >GA201/00/0724: Geometric analysis</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2002

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Differential geometry and its applications

  • ISBN

    80-7248-166-5

  • ISSN

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

    197-201

  • Publisher name

    Slezská univerzita v Opavě

  • Place of publication

    Opava

  • Event location

    Opava

  • Event date

    Aug 27, 2001

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article