42 citations · 69 across the 19 of their papers we have counts for
21 papers
A Reilly-Type Inequality for CR Dirac Operators on CR Manifolds and Applications
Jih-Hsin Cheng, Hung-Lin Chiu, Wei-Ting Kao
The first two authors derived the Weitzenböck-type Formula for a CR Dirac operator. In this paper, we apply the above-mentioned formula and follow the process as Riemannian case to…
On minimizing surfaces of the CR invariant energy
Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang +1
We study a CR-invariant equation for vanishing surfaces in the 3-dimensional Heisenberg group. This is shown to be a hyperbolic equation. We prove the local uniqueness theore…
The Classification of Rotationally symmetric hypersurfaces in the Heisenberg groups
Hung-Lin Chiu, Sin-Hua Lai, Hsiao-Fan Liu
In this paper, we show the fundamental theorems for rotationally symmetric hypersurfaces, and thus, together with the earlier results in [3] and [4], provide a complete classificat…
On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group
Hung-Lin Chiu, Sin-Hua Lai, Hsiao-Fan Liu
One primary objective in submanifold geometry is to discover fascinating and significant classical examples of . In this paper which relies on the theory we established in [Ad…
Subelliptic operators on weighted Folland-Stein spaces
Hung-Lin Chiu
In this paper, we show that the sub-Laplacian of an asymptotically flat pseudo-hermitian manifold defined on a suitable weighted Folland-Stein spaces is an isomorphism. It turns ou…
Positive mass theorem and the CR Yamabe equation on 5-dimensional contact spin manifolds
Jih-Hsin Cheng, Hung-Lin Chiu
We consider the CR Yamabe equation with critical Sobolev exponent on a closed contact manifold M of dimension 2n + 1. The problem of finding solutions with minimum energy has been…