Geodesic
Stability of certain Engel-like distributions
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 765-784

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We introduce a higher dimensional analogue of the Engel structure, motivated by the Cartan prolongation of contact manifolds. We study the stability of such structure, generalizing the Gray-type stability results for Engel manifolds. We also derive local normal forms defining such a distribution.
DOI : 10.21136/CMJ.2020.0093-20
Classification : 58A15, 58A17, 58A30
Keywords: Engel structure; Cartan prolongation; global stability; nonholonomic distribution; normal form 
@article{10_21136_CMJ_2020_0093_20,
     author = {Bhowmick, Aritra},
     title = {Stability of certain {Engel-like} distributions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {765--784},
     publisher = {mathdoc},
     volume = {71},
     number = {3},
     year = {2021},
     doi = {10.21136/CMJ.2020.0093-20},
     mrnumber = {4295244},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0093-20/}
}
TY  - JOUR
AU  - Bhowmick, Aritra
TI  - Stability of certain Engel-like distributions
JO  - Czechoslovak Mathematical Journal
PY  - 2021
SP  - 765
EP  - 784
VL  - 71
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0093-20/
DO  - 10.21136/CMJ.2020.0093-20
LA  - en
ID  - 10_21136_CMJ_2020_0093_20
ER  - 
%0 Journal Article
%A Bhowmick, Aritra
%T Stability of certain Engel-like distributions
%J Czechoslovak Mathematical Journal
%D 2021
%P 765-784
%V 71
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0093-20/
%R 10.21136/CMJ.2020.0093-20
%G en
%F 10_21136_CMJ_2020_0093_20
Bhowmick, Aritra. Stability of certain Engel-like distributions. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 765-784. doi: 10.21136/CMJ.2020.0093-20

Cité par Sources :