2013 / June Volume 8 No.2
Integrability Conditions for the Grushin and Martinet Distributions
| Published Date |
2013 / June
|
|---|---|
| Title | Integrability Conditions for the Grushin and Martinet Distributions |
| Author | |
| Keyword | |
| Download | |
| Pagination | 159-168 |
| Abstract | We realise the first and second Grushin distributions as symmetry reductions of
the 3-dimensional Heisenberg distribution and 4-dimensional Engel distribution
respectively. Similarly, we realise the Martinet distribution as an alternative symmetry reduction of the Engel distribution. These reductions allow us to derive the integrability conditions for the Grushin and Martinet distributions and build certain complexes of differential operators. These
complexes are well-behaved despite the distributions they resolve being
non-regular.
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| AMS Subject Classification |
58J10,37J30
|
| Received |
2013-01-19
|
| Accepted |
2013-01-20
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