Subriemannian Metrics and the Metrizability of Parabolic Geometries

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00118730" target="_blank" >RIV/00216224:14310/21:00118730 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/21:10440026
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs12220-019-00320-1" target="_blank" >https://link.springer.com/article/10.1007%2Fs12220-019-00320-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12220-019-00320-1" target="_blank" >10.1007/s12220-019-00320-1</a>

Result language
angličtina
Original language name
Subriemannian Metrics and the Metrizability of Parabolic Geometries
Original language description
We present the linearized metrizability problem in the context of parabolic geometries and subriemannian geometry, generalizing the metrizability problem in projective geometry studied by R. Liouville in 1889. We give a general method for linearizability and a classification of all cases with irreducible defining distribution where this method applies. These tools lead to natural subriemannian metrics on generic distributions of interest in geometric control theory.
Czech name
—
Czech description
—

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

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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