The Imbeddability of CR Manifolds

In Section 11.1, we show that any abstract real analytic CR structure is locally CR equivalent — via a real analytic CR diffeomorphism — to a generic, real analytic CR submanifold of ℂ ⁿ . Nirenberg’s C ^∞ counterexample presented in Section 11.2 shows that without additional hypothesis, the corresponding theorem for C ^∞ CR structures is false. Additional imbedding results will be discussed in Chapter 12.