10 citations · 19 across the 10 of their papers we have counts for
11 papers
Sharp Gaussian Asymptotics for Marginals of Euclidean Balls
Bo-Si Chen, Yen-Chang Huang
We study Gaussian approximation for probability measures obtained by normalizing one-dimensional profile functions, with one-dimensional marginals of Euclidean balls as the princip…
Slicing Support Functions with Recovery Formula and Curvature Identities
Yen-Chang Huang
Let be a convex body with support function . For , , and , we introduce the slicing support function…
A surface area formula for compact hypersurfaces in
Yen-Chang Huang
The classical result of Cauchy's surface area formula states that the surface area of the boundary of any -dimensional convex body in the -dimensional Euclidea…
A Note on the Cesàro Condition for Curves in the Three-Dimensional Heisenberg Group
Yen-Chang Huang
We study three consequences of the adapted Frenet--Serret formulas for horizontally regular curves in the three-dimensional Heisenberg group , viewed as the flat mode…
Cauchy surface area formula in the Heisenberg groups
Yen-Chang Huang
We show the analogy of Cauchy's surface area formula for the Heisenberg groups for , which states that the p-area of any compact hypersurface in $\mathb…
Deformation of the scalar curvature and the mean curvature
Pak Tung Ho, Yen-Chang Huang
On a compact manifold with boundary , we study the problem of prescribing the scalar curvature in and the mean curvature on the boundary simultaneo…
Generalizations of the theorems of Pappus-Guldin in the Heisenberg groups
Yen-Chang Huang
In this paper we study areas (called p-areas) and volumes for parametric surfaces in the 3D-Heisenberg group , which is considered as a flat model of pseudo-hermitian…
The existence of horizontal envelopes in the 3D-Heisenberg group
Yen-Chang Huang
By using the support function on the -plane, we show the necessary and sufficient conditions for the existence of envelopes of horizontal lines in the 3D-Heisenberg group. A me…
The kinematic formula in the 3D-Heisenberg group
Yen-Chang Huang
By studying the group of rigid motions, , in the 3D-Heisenberg group , we define the density and the measure for the sets of horizontal lines. We show that the volume…
The fundamental theorem of curves and classifications in the Heisenberg groups
Hung-Lin Chiu, XiuHong Feng, Yen-Chang Huang
We study the horizontally regular curves in the Heisenberg groups . We show the fundamental theorem of curves in and define the concept of the orders for hor…
An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group
Hung-Lin Chiu, Yen-Chang Huang, Sin-Hua Lai
We show the fundamental theorems of curves and surfaces in the 3-dimensional Heisenberg group and find a complete set of invariants for curves and surfaces respectively. The proofs…