15 citations · 28 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
A characterization of constant -mean curvature surfaces in the Heisenberg group
Hung-Lin Chiu, Hsiao-Fan Liu
In Euclidean -space, it is well known that the Sine-Gordon equation was considered in the nineteenth century in the course of investigations of surfaces of constant Gaussian cur…
Geometric Algorithm of Schrödinger Flow on a Sphere
Hsiao-Fan Liu
We construct the solution to the periodic Cauchy problem of the Schrödinger flow on the sphere. Such construction of solutions is formulated explicitly and therefore a geometric al…
Star Mean Curvature Flow on 3 manifolds and its Bäcklund Transformations
Hsiao-Fan Liu
The Hodge star mean curvature flow on a 3-dimensional Riemannian or pseudo-Riemannian manifold is a natural nonlinear dispersive curve flow in geometric analysis. A curve flow is i…