2026/08/01 by Masoud Sabzevari
Mathematics · #math.CV #msc:32V40 #msc:58K50 #msc:53A55
38 pp
arxiv created 2026/08/01 · arxiv updated 2026/08/04
The class of six-dimensional totally nondegenerate CR submanifolds in \mathbb C5 contains an infinite number of models parameterized by nonzero pairs (a, b)∈\mathbb C×\mathbb R appearing in their defining equations. Employing the equivariant moving frame method, we construct normal forms of this class. The applied normalizations yield into fourteen biholomorphically inequivalent subclasses, each with its own normal form. For each subclass, we determine the Lie algebra of infinitesimal CR automorphisms. Finally, using the method of involution, we prove the convergence of the constructed normal forms.