论文标题
C^4中的五维完全非等级Cr歧管的收敛正常形式
Convergent normal forms for five dimensional totally nondegenerate CR manifolds in C^4
论文作者
论文摘要
应用模棱两可的移动帧方法，我们构建了C^4的实用分析的5维完全非等级Cr子曼群的收敛正常形式。这些CR歧管分为几个生物形态上的不相等子类，每个类别都有其自身的正常形式。此外，表明，Biholomoromoromoromoromormoromormoromormormormoromorphka的立方模型是该类别的独特成员，最大可能的尺寸为无限的CR自动形态的相应代数中的七个。我们的结果在研究CR歧管之间的生物形态等效问题的研究中也很有用。
Applying the equivariant moving frames method, we construct convergent normal forms for real-analytic 5-dimensional totally nondegenerate CR submanifolds of C^4. These CR manifolds are divided into several biholomorphically inequivalent subclasses, each of which has its own complete normal form. Moreover it is shown that, biholomorphically, Beloshapka's cubic model is the unique member of this class with the maximum possible dimension seven of the corresponding algebra of infinitesimal CR automorphisms. Our results are also useful in the study of biholomorphic equivalence problem between CR manifolds, in question.
