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

9 papers

math.DG2021

Normal Forms of second order Ordinary Differential Equations $y_{xx} = J (x, y, y_{x})$ under Fibre-Preserving Maps

Wei Guo Foo, Julien Heyd, Joël Merker

We study the equivalence problem of classifying second order ordinary differential equations $y_{xx} = J (x, y, y_{x})$ modulo fibre-preserving point transformations $x ⟼ φ (x)$ …

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.DG2019★ 1 cited

Holomorphic immersions of bi-disks into $9$ dimensional real hypersurfaces with Levi signature $(2, 2)$

Wei Guo Foo, Joel Merker

Inspired by an article of R. Bryant on holomorphic immersions of unit disks into Lorentzian CR manifolds, we discuss the application of Cartan's method to the question of the exist…

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.DG2019★ 2 cited

Rigid equivalences of $5$ -dimensional $2$ -nondegenerate rigid real hypersurfaces $M^{5} \subset C^{3}$ of constant Levi rank $1$

Wei Guo Foo, Joel Merker, The-Anh Ta

We study the local equivalence problem for real-analytic ( $C^{ω}$ ) hypersurfaces $M^{5} \subset C^{3}$ which, in coordinates $(z_{1}, z_{2}, w) \in C^{3}$ with $w =…

Normal Forms of second order Ordinary Differential Equations yxx​=J(x,y,yx​) under Fibre-Preserving Maps

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

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

Holomorphic immersions of bi-disks into 9 dimensional real hypersurfaces with Levi signature (2,2)

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

Rigid equivalences of 5-dimensional 2-nondegenerate rigid real hypersurfaces M5⊂C3 of constant Levi rank 1

Normal Forms of second order Ordinary Differential Equations $y_{xx} = J (x, y, y_{x})$ under Fibre-Preserving Maps

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

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

Holomorphic immersions of bi-disks into $9$ dimensional real hypersurfaces with Levi signature $(2, 2)$

Rigid equivalences of $5$ -dimensional $2$ -nondegenerate rigid real hypersurfaces $M^{5} \subset C^{3}$ of constant Levi rank $1$