منابع مشابه
Poincaré’s Lemma on the Heisenberg Group
It is well known that the system ∂xf = a, ∂yf = b on R 2 has a solution if and only if the closure condition ∂xb = ∂ya holds. In this case the solution f is the work done by the force U = (a, b) from the origin to the point (x, y). This paper deals with a similar problem, where the vector fields ∂x, ∂y are replaced by the Heisenberg vector fields X1, X2. In this case the subRiemannian system X1...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2014
ISSN: 0196-8858
DOI: 10.1016/j.aam.2014.08.003