本刊英文版Vol.33(2017),No.1论文摘要(英文) |
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摘 要: | <正>Real Submanifolds in Complex Spaces Valentin BURCEA Abstract Let(z_(11),...,z_(1N),…,z_(m1),…,z_(mN),w_(11),…,w_(mm))be the coordinates in C~(mN+m~2).In this note we prove the analogue of the Theorem of Moser in the case of the real-analytic submanifold M defined as follows W=ZZ~t+O(3),where W={w_(ij)}_(1≤i,j≤m)and Z={z_(ij)}_(1≤i≤m,1≤j≤N).We prove that M is biholomorphically equivalent to the model W=ZZ~t if and only if is formally equivalent to it.
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