On the CR automorphism group of a certain hypersurface of infinite type in ${\mathbb{C}}^2$

Abstract

In this article, we consider ${\mathcal{C}}^{\infty }$-smooth real hypersurfaces of infinite type in ${\mathbb{C}}^2$. The purpose of this paper is to give explicit descriptions for stability groups of the hypersurface $M(a,\alpha ,p,q)$ (see Sec. $1$) and a radially symmetric hypersurface in ${\mathbb{C}}^2$.

arXiv comment14 pages

References in corpus (2)

• On the existence of tangential holomorphic vector fields vanishing at an infinite type point
• On the tangential holomorphic vector fields vanishing at an infinite type point