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

Showing 2019Show all

4 papers · 1 filter

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 =…

math.DG2019★ 2 cited

Differential ${e}$ -structures for equivalences of $2$ -nondegenerate Levi rank $1$ hypersurfaces $M^{5} \subset C^{3}$

Wei Guo Foo, Joel Merker

The class $IV_{2}$ of $2$ -nondegenerate constant Levi rank $1$ hypersurfaces $M^{5} \subset C^{3}$ is governed by Pocchiola's two primary invariants $W_{0}$ and $J_{0}$ . Their…

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

Differential {e}-structures for equivalences of 2-nondegenerate Levi rank 1 hypersurfaces M5⊂C3

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 $1$

Differential ${e}$ -structures for equivalences of $2$ -nondegenerate Levi rank $1$ hypersurfaces $M^{5} \subset C^{3}$