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Paper   IPM / M / 16530
School of Mathematics
  Title:   Convergent normal forms for five dimensional nondegenerate CR submanifolds of C4
  Author(s):  Masoud Sabzevari
  Status:   Published
  Journal: J. Geom. Anal.
  Vol.:  31
  Year:  2021
  Pages:   7900-7946
  Supported by:  IPM
Applying the equivariant moving frame method, we find a convergent normal form for 5-dimensional totally nondegenerate CR submanifolds of C^4. We find three holomorphically inequivalent subclasses of these CR manifolds in which each class has its own normal form. Our results also enables one to consider the biholomorphic equivalence problem of the CR manifolds, in question.

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