7 papers
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…
Contact topology and CR geometry in three dimensions
Jih-Hsin Cheng
We study low-dimensional problems in topology and geometry via a study of contact and Cauchy-Riemann () structures. A contact structure is called spherical if it admits a compa…
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…