On integrability of certain rank 2 sub-Riemannian structures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985815%3A_____%2F17%3A00485783" target="_blank" >RIV/67985815:_____/17:00485783 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1134/S1560354717050033" target="_blank" >http://dx.doi.org/10.1134/S1560354717050033</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1134/S1560354717050033" target="_blank" >10.1134/S1560354717050033</a>

Result language

angličtina

Original language name

On integrability of certain rank 2 sub-Riemannian structures

Original language description

We discuss rank 2 sub-Riemannian structures on low-dimensional manifolds and prove that some of these structures in dimensions 6, 7 and 8 have a maximal amount of symmetry but no integrals polynomial in momenta of low degrees, except for those coming from the Killing vector fields and the Hamiltonian, thus indicating nonintegrability of the corresponding geodesic flows.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10308 - Astronomy (including astrophysics,space science)

Project

<a href="/en/project/GJ17-06962Y" target="_blank" >GJ17-06962Y: Non-linear phenomena in a multi-channel astronomy of black holes</a><br>

Continuities

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

Publication year

2017

Confidentiality

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

Name of the periodical

Regular & Chaotic Dynamics

ISSN

1560-3547

e-ISSN

—

Volume of the periodical

22

Issue of the periodical within the volume

5

Country of publishing house

RU - RUSSIAN FEDERATION

Number of pages

18

Pages from-to

502-519

UT code for WoS article

000412030900003

EID of the result in the Scopus database

2-s2.0-85030173416