Year: 2026
Type: preprint
Abstract: The class of six-dimensional totally nondegenerate CR submanifolds in $\mathbb C^5$ contains an infinite number of models parameterized by nonzero pairs $(a, b)\in\mathbb C\times\mathbb R$ 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.
Source: arXiv (Cornell University)
Author: Sabzevari, Masoud
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7172403387