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Oct 10, 2017 at 7:09 vote accept Ali Taghavi
Oct 9, 2017 at 6:41 history edited Ali Taghavi
I add a tag "foliation"
Oct 8, 2017 at 11:48 answer added Robert Bryant timeline score: 4
Oct 8, 2017 at 10:25 comment added Ali Taghavi @RobertBryant In the case of Lie bracket generating, is the answer obvious?Is the primary decomposition of linear algebra usefull here?(To give a decomposition of the bundle $\ker \alpha $ and a possible obstruction to complete non integrability?) Thanks for your attention to my question.
Oct 7, 2017 at 18:11 comment added Ali Taghavi @RobertBryant Sorry for my delay in response. Yes I mean the Lie algebra generated by vector fields tangent to $\ker \alpha$ would be the whole space of vector fields.(According to definition of Sub Riemannian manifolds)
Oct 7, 2017 at 13:49 comment added Robert Bryant The answer depends on what you mean by 'completely non-integrable'. Do you just mean that the kernel of the 1-form $\alpha$ is not Frobenius or do you mean that the kernel of the 1-form is bracket-generating (or something in between)?
Oct 7, 2017 at 9:12 history edited Peter Heinig CC BY-SA 3.0
Purely grammatical improvements. "non integrable" is one of the situations in which a hyphen is required by usual grammatical rules. Meaning and style preserved.
Oct 7, 2017 at 8:59 history edited Ali Taghavi CC BY-SA 3.0
added 48 characters in body
Oct 7, 2017 at 8:09 history edited Ali Taghavi CC BY-SA 3.0
added 17 characters in body
Oct 7, 2017 at 7:55 history asked Ali Taghavi CC BY-SA 3.0