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On 6-dimensional pseudo-Riemannian almost g.o. spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F07%3A00004544" target="_blank" >RIV/61989592:15310/07:00004544 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On 6-dimensional pseudo-Riemannian almost g.o. spaces

  • Original language description

    We modify the "Kaplan example" (a six-dimensional nilpotent Lie group which is a Riemannian g.o. space) and we obtain two pseudo-Riemannian homogeneous spaces with noncompact isotropy group. These examples have the property that all geodesics are homogeneous up to a set of measure zero. We also show that the (incomplete) geodesic graphs are strongly discontinuous at the boundary, i.e., the limits along certain curves are always infinite.

  • Czech name

    O šestirozměrných skoro- g.o. prostorech.

  • Czech description

    V práci jsou příklady pseudo-riemannovských skoro-g.o. prostorů v dimenzích 6 a 7 a je studováno chování geodetických grafů v těchto případech.

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/GA201%2F05%2F2707" target="_blank" >GA201/05/2707: Computer-assisted research in Riemannian and affine geometry</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Geometry and Physics

  • ISSN

    0393-0440

  • e-ISSN

  • Volume of the periodical

    57

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    10

  • Pages from-to

    2014-2023

  • UT code for WoS article

  • EID of the result in the Scopus database