PLA Academy of Military Science

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20072024

most citedLarge-scale silicon quantum photonics implementing arbitrary two-qubit processing

552 citations

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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…

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

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

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