CR embeddings of CR manifolds
Copyright policy )CR embeddings of CR manifolds
AbstractWe improve results of Baouendi, Rothschild and Treves and of Hill and Nacinovich by finding a much weaker sufficient condition for a CR manifold of type (n, k) to admit a local CR embedding into a CR manifold of type $$(n+\ell ,k-\ell )$$ ( n + ℓ , k - ℓ ) . While their results require the existence of a finite dimensional solvable transverse Lie algebra of vector fields, we require only a finite dimensional extension.
- UNSW Sydney Australia
- University of New England Australia
4902 Mathematical Physics, Mathematics - Complex Variables, 4904 Pure Mathematics, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, 510, anzsrc-for: 49 Mathematical Sciences, 49 Mathematical Sciences, FOS: Mathematics, Complex Variables (math.CV), anzsrc-for: 4902 Mathematical Physics
4902 Mathematical Physics, Mathematics - Complex Variables, 4904 Pure Mathematics, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, 510, anzsrc-for: 49 Mathematical Sciences, 49 Mathematical Sciences, FOS: Mathematics, Complex Variables (math.CV), anzsrc-for: 4902 Mathematical Physics
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