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2000 Mathematics Subject Classification: 37J55, 53D10, 53D17, 53D35.
In this paper, we study contact forms on a 3-manifold having a common Reeb vector field R. The main result is that when the contact forms induce the same orientation, they are diffeomorphic.
Let M be a compact manifold of dimension three with a contact structure [ω]. The Lie algebra A([ω]) of infinitesimal automorphisms of [ω] is of infinite dimension. In this paper we study the subalgebras of A([ω]) of
finite dimensions. 2010 Mathematics Subject Classification: 37J55, 53D10, 53D17, 53D35.
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