Title:
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Stability of certain Engel-like distributions (English) |
Author:
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Bhowmick, Aritra |
Language:
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English |
Journal:
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Czechoslovak Mathematical Journal |
ISSN:
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0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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71 |
Issue:
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3 |
Year:
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2021 |
Pages:
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765-784 |
Summary lang:
|
English |
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Category:
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math |
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Summary:
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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. (English) |
Keyword:
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Engel structure |
Keyword:
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Cartan prolongation |
Keyword:
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global stability |
Keyword:
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nonholonomic distribution |
Keyword:
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normal form |
MSC:
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58A15 |
MSC:
|
58A17 |
MSC:
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58A30 |
idZBL:
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07396196 |
idMR:
|
MR4295244 |
DOI:
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10.21136/CMJ.2020.0093-20 |
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Date available:
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2021-08-02T08:06:00Z |
Last updated:
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2023-10-02 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/149055 |
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
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Reference:
|
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Reference:
|
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Reference:
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Reference:
|
[8] Montgomery, R.: Engel deformations and contact structures.Northern California Symplectic Geometry Seminar American Mathematical Society Translations: Series 2, Volume 196. American Mathematical Society, Providence (1999), 103-117. Zbl 0961.53043, MR 1736216, 10.1090/trans2/196/07 |
Reference:
|
[9] Montgomery, R., Zhitomirskii, M.: Geometric approach to Goursat flags.Ann. Inst. Henri Poincaré, Anal. Non Linéaire 18 (2001), 459-493. Zbl 1013.58004, MR 1841129, 10.1016/S0294-1449(01)00076-2 |
Reference:
|
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