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Local tube realizations of CR-manifolds and maximal abelian subalgebras

Local tube realizations of CR-manifolds and maximal abelian subalgebras

For every real-analytic CR-manifold M we give necessary and sufficient conditions that M can be realized in a suitable neighbourhood of a given point a ∈ M as a tube submanifold of some C r .We clarify the question of the 'right' equivalence between two local tube realizations of the …