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On normals of manifolds in multidimensional projective space

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145772" target="_blank" >RIV/61989592:15310/13:33145772 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On normals of manifolds in multidimensional projective space

  • Original language description

    In the paper the regular hyper-zones in the multi-dimensional non-Eucli-dean space are discussed. The determined bijection between the normals of the first and second kind for the hyper-zone makes it possible to construct the bundle of normals of second-kind for the hyper-zone with assistance of certain bundle of normals of first-kind and vice versa. And hence the bundle of the normals of second-kind is constructed in the third-order differential neighbourhood of the forming element for hyper-zone. Research of hyper-zones and zones in multi-dimensional spaces takes up an important place in intensively developing geometry of manifolds in view of its applications to mechanics, theoretical physics, calculus of variations, methods of optimization.

  • 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

    <a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>

  • Continuities

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

Others

  • Publication year

    2013

  • 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

    42

  • Issue of the periodical within the volume

    DEC

  • Country of publishing house

    HU - HUNGARY

  • Number of pages

    6

  • Pages from-to

    23-28

  • UT code for WoS article

  • EID of the result in the Scopus database