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Geometry of almost Cliffordian manifolds: classes of subordinated connections

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F14%3APU107358" target="_blank" >RIV/00216305:26210/14:PU107358 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.3906/mat-1206-40" target="_blank" >http://dx.doi.org/10.3906/mat-1206-40</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3906/mat-1206-40" target="_blank" >10.3906/mat-1206-40</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Geometry of almost Cliffordian manifolds: classes of subordinated connections

  • Original language description

    An almost Clifford and an almost Cliffordian manifold is a G--structure based on the definition of Clifford algebras. An almost Clifford manifold based on O:= Cl (s,t) is given by a reduction of the structure group GL(km, R) to GL(m, O), where k=2s+t and m in N. An almost Cliffordian manifold is given by a reduction of the structure group to GL(m, O) GL(1, O). We prove that an almost Clifford manifold based on O is such that there exists a unique subordinated connection, while the case of an almost Cliffordian manifold based on O is more rich. A class of distinguished connections in this case is described explicitly.

  • 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

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    TURKISH JOURNAL OF MATHEMATICS

  • ISSN

    1300-0098

  • e-ISSN

    1303-6149

  • Volume of the periodical

    38

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    TR - TURKEY

  • Number of pages

    12

  • Pages from-to

    179-190

  • UT code for WoS article

    000331423800016

  • EID of the result in the Scopus database

    2-s2.0-84891818752