Stability of certain Engel-like distributions

Aritra Bhowmick

Czechoslovak Mathematical Journal (2021)

  • Volume: 71, Issue: 3, page 765-784
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Bhowmick, Aritra. "Stability of certain Engel-like distributions." Czechoslovak Mathematical Journal 71.3 (2021): 765-784. <http://eudml.org/doc/298185>.

@article{Bhowmick2021,
abstract = {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.},
author = {Bhowmick, Aritra},
journal = {Czechoslovak Mathematical Journal},
keywords = {Engel structure; Cartan prolongation; global stability; nonholonomic distribution; normal form},
language = {eng},
number = {3},
pages = {765-784},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Stability of certain Engel-like distributions},
url = {http://eudml.org/doc/298185},
volume = {71},
year = {2021},
}

TY - JOUR
AU - Bhowmick, Aritra
TI - Stability of certain Engel-like distributions
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 3
SP - 765
EP - 784
AB - 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.
LA - eng
KW - Engel structure; Cartan prolongation; global stability; nonholonomic distribution; normal form
UR - http://eudml.org/doc/298185
ER -

References

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