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On symmetries of a sub-Riemannian structure with growth vector (4,7)

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU145285" target="_blank" >RIV/00216305:26210/22:PU145285 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s10231-022-01242-6" target="_blank" >https://link.springer.com/article/10.1007/s10231-022-01242-6</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10231-022-01242-6" target="_blank" >10.1007/s10231-022-01242-6</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On symmetries of a sub-Riemannian structure with growth vector (4,7)

  • Original language description

    We study symmetries of specific left-invariant sub-Riemannian structure with filtration (4, 7) and their impact on sub-Riemannian geodesics of corresponding control problem. We show that there are two very different types of geodesics, they either do not intersect the fixed point set of symmetries or are contained in this set for all times. We use the symmetry reduction to study properties of geodesics.

  • 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

    10100 - Mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ANNALI DI MATEMATICA PURA ED APPLICATA

  • ISSN

    0003-4622

  • e-ISSN

  • Volume of the periodical

    1

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    IT - ITALY

  • Number of pages

    14

  • Pages from-to

    1-14

  • UT code for WoS article

    000826261700001

  • EID of the result in the Scopus database

    2-s2.0-85134527728