W. Foo

activity

20172021

5

-dimensional

2

-nondegenerate rigid real hypersurfaces

M^{5} \subset C^{3}

of constant Levi rank

1

2 citations · 5 across the 9 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.CV2020

On Convergent Poincaré-Moser Reduction for Levi Degenerate Embedded $5$ -Dimensional CR Manifolds

Wei Guo Foo, Joel Merker, The-Anh Ta

Applying Lie's theory, we show that any $C^{ω}$ hypersurface $M^{5} \subset C^{3}$ in the class $C_{2, 1}$ carries Cartan-Moser chains of orders $1$ and $2$ .…

math.CV2020

Normal Forms for Rigid $C_{2, 1}$ Hypersurfaces $M^{5} \subset C^{3}$

Zhangchi Chen, Wei-Guo Foo, Joel Merker +1

Consider a $2$ -nondegenerate constant Levi rank $1$ rigid $C^{ω}$ hypersurface $M^{5} \subset C^{3}$ in coordinates $(z, ζ, w = u + i v)$ : \[ u = F\big(z,ζ,\bar{z},\bar…

math.CV2019

Nonvanishing of Cartan CR curvature on boundaries of Grauert tubes around hyperbolic surfaces

Wei Guo Foo, Joel Merker, The-Anh Ta

We show that the boundaries of thin strongly pseudoconvex Grauert tubes, with respect to the Guillemin-Stenzel Kähler metric canonically associated with the Poincaré metric on clos…

math.CV2017

Parametric CR-umbilical Locus of Ellipsoids in $C^{2}$

Wei-Guo Foo, Joel Merker, The-Anh Ta

For every real numbers $a ⩾ 1$ , $b ⩾ 1$ with $(a, b) \neq = (1, 1)$ , the curve parametrized by $θ \in R$ valued in $C^{2} ≅ R^{4}$ \[ γ\, \col…

math.CV2017

Explicit calculation of Siu's Effective Termination in Kohn's Algorithm for Special Domains in $C^{3}$

Wei Guo Foo

In this article, we follow the arguments in a paper of Y-T. Siu to study the effective termination of Kohn's algorithm for special domains in $C^{3}$ . We make explicit the…

On Convergent Poincaré-Moser Reduction for Levi Degenerate Embedded 5-Dimensional CR Manifolds

Normal Forms for Rigid C2,1​ Hypersurfaces M5⊂C3

Nonvanishing of Cartan CR curvature on boundaries of Grauert tubes around hyperbolic surfaces

Parametric CR-umbilical Locus of Ellipsoids in C2

Explicit calculation of Siu's Effective Termination in Kohn's Algorithm for Special Domains in C3

On Convergent Poincaré-Moser Reduction for Levi Degenerate Embedded $5$ -Dimensional CR Manifolds

Normal Forms for Rigid $C_{2, 1}$ Hypersurfaces $M^{5} \subset C^{3}$

Parametric CR-umbilical Locus of Ellipsoids in $C^{2}$

Explicit calculation of Siu's Effective Termination in Kohn's Algorithm for Special Domains in $C^{3}$