Prolongation of Tanaka structures: an alternative approach

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F17%3A50013410" target="_blank" >RIV/62690094:18470/17:50013410 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007%2Fs10231-016-0610-7" target="_blank" >https://link.springer.com/article/10.1007%2Fs10231-016-0610-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10231-016-0610-7" target="_blank" >10.1007/s10231-016-0610-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Prolongation of Tanaka structures: an alternative approach

Popis výsledku v původním jazyce

The classical theory of prolongation of G-structures was generalized by N. Tanaka to a wide class of geometric structures (Tanaka structures), which are defined on a non-holonomic distribution. Examples of Tanaka structures include subriemannian, subconformal, CR-structures, structures associated with second-order differential equations, and structures defined by gradings of Lie algebras (in the framework of parabolic geometries). Tanaka&apos;s prolongation procedure associates with a Tanaka structure of finite order a manifold with an absolute parallelism. It is a very fruitful method for the description of local invariants, investigation of the automorphism group, and equivalence problem. In this paper, we develop an alternative constructive approach for Tanaka&apos;s prolongation procedure, based on the theory of quasi-gradations of filtered vector spaces, G-structures, and their torsion functions.

Název v anglickém jazyce

Prolongation of Tanaka structures: an alternative approach

Popis výsledku anglicky

The classical theory of prolongation of G-structures was generalized by N. Tanaka to a wide class of geometric structures (Tanaka structures), which are defined on a non-holonomic distribution. Examples of Tanaka structures include subriemannian, subconformal, CR-structures, structures associated with second-order differential equations, and structures defined by gradings of Lie algebras (in the framework of parabolic geometries). Tanaka&apos;s prolongation procedure associates with a Tanaka structure of finite order a manifold with an absolute parallelism. It is a very fruitful method for the description of local invariants, investigation of the automorphism group, and equivalence problem. In this paper, we develop an alternative constructive approach for Tanaka&apos;s prolongation procedure, based on the theory of quasi-gradations of filtered vector spaces, G-structures, and their torsion functions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

ANNALI DI MATEMATICA PURA ED APPLICATA

ISSN

0373-3114

e-ISSN

—

Svazek periodika

196

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

28

Strana od-do

1137-1164

Kód UT WoS článku

000402126700016

EID výsledku v databázi Scopus

2-s2.0-84988420997