Real Submanifolds in Complex Spaces: Upgrades
Valentin Burcea
Abstract
It is proven a new analogue of the Theorem of Moser in a generalized context defined by Shilov Boundaries of Bounded and Symmetric Domains.
Table of Contents
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Real Submanifolds in Complex Spaces: Upgrades
Authors
Abstract
It is proven a new analogue of the Theorem of Moser in a generalized context defined by Shilov Boundaries of Bounded and Symmetric Domains.
Paper Structure
This paper contains 11 sections, 4 theorems, 73 equations.
Table of Contents
Key Result
Theorem 1.1
Let $M\subset\mathbb{C}^{mN+m^{2}}$ be the Real-Analytic Submanifold defined near $p=0$ by (MAN), and the Model (coordC). Then $M$ is holomorphically embeddable into the Model (coordC) if and only if $M$ is formally embeddable into the Model (coordC).
Theorems & Definitions (7)
- Theorem 1.1
- Corollary 1.2
- Lemma 4.1
- Lemma 4.2
- proof
- Remark 7.1
- proof