# A New Approach to the Local Embedding Theorem of CR-Structures for \(n\geq 4\) (The Local Solvability for the Operator \(\overline \partial _b\) in the Abstract Sense)

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# Table of Contents

## A New Approach to the Local Embedding Theorem of CR-Structures for $n4$ (The Local Solvability for the Operator $\overline_{b}$ in the Abstract Sense)

- Table of Contents iii4 free
- Part I. D[sup(f)][sub(b)] – estimate 118 free
- Chapter 1. Preparations 118
- 1.1. Deformation theory of CR-structures 118
- 1.2. Reducing to an element of Γ(M, °T"⊗(°T")*) 421
- 1.3. The orthonormal base of (M, [sup(ψ)]T") 926
- 1.4. The induced CR-structure (M, [sup(f)]T") and the admissible distance function 1128
- 1.5. The orthonormal base of (M, [sup(f)]T") 1532
- 1.6. Deformation theory preserving the curve C 1734
- 1.7. An approximate embedding 2037

- Chapter 2. An a priori estimate for D[sup(ψ)][sub(b)] 2946
- Chapter 3. Some estimate for [omitted][sup(ψ)][sub(b)] 5572
- Chapter 4. An a priori estimate for D[sup(f)][sub(b)] – complex with respect to t[sub(f)] 91108
- Chapter 5. Some estimate for [omitted][sup(f)][sub(b)] 100117
- Chapter 6. The smoothing operator 115132
- References in Part I 126143

- Part II. The construction of the solution 127144