7 papers · 1 filter
Regularity of C^{1} smooth surfaces with prescribed p-mean curvature in the Heisenberg group
Jih-Hsin Cheng, Jenn-Fang Hwang, Paul Yang
We consider a smooth surface with prescribed (or )-mean curvature in the 3-dimensional Heisenberg group. Assuming only the prescribed -mean curvature …
Deformation of fillable CR structures
Jih-Hsin Cheng
We study the fillability (or embeddability) of structures under the gauge-fixed Cartan flow. We prove that if the initial structure is fillable with nowhere vanishing Tan…
Cauchy-Riemann geometry and contact topology in three dimensions
Jih-Hsin Cheng
We introduce a global Cauchy-Riemann()-invariant and discuss its behavior on the moduli space of -structures. We argue that this study is related to the Smale conjecture in…
The Harnack estimate for the Yamabe flow on CR manifolds of dimension 3
Shu-Cheng Chang, Jih-Hsin Cheng
We deform the contact form by the amount of the Tanaka-Webster curvature on a closed spherical three-manifold. We show that if a contact form evolves with free torsion and pos…
Monopoles and contact 3-manifolds
Jih-Hsin Cheng, Hung-Lin Chiu
We propose the study of some kind of monopole equations directly associated with a contact structure. Through a rudimentary analysis about the solutions, we show that a closed cont…
Deformation of spherical CR structures and the universal Picard variety
Jih-Hsin Cheng, I-Hsun Tsai
We study deformation of spherical circle bundles over Riemann surfaces of genus > 1. There is a one to one correspondence between such deformation space and the so-called univ…