Infinitesimal CR automorphisms and stability groups of infinite type models in $\mathbb C^2$

TL;DR

This paper provides explicit descriptions of stability groups and decompositions of infinitesimal CR automorphisms for real rigid hypersurfaces of infinite type in complex two-dimensional space.

Contribution

It offers new explicit characterizations of stability groups and automorphism decompositions for infinite type hypersurfaces in ^2, advancing understanding of their symmetry structures.

Findings

Explicit descriptions of stability groups for infinite type hypersurfaces

Decompositions of infinitesimal CR automorphisms provided

Enhanced understanding of symmetry structures in ^2 hypersurfaces

Abstract

The purpose of this paper is to give explicit descriptions for stability groups of real rigid hypersurfaces of infinite type in $\mathbb C^2$. The decompositions of infinitesimal CR automorphisms are also given.