Yaping Xu

collaborators

2 papers

math.GT2022

Polygons inscribed in Jordan curves with prescribed edge ratios

Yaping Xu, Ze Zhou

Let $J$ be a simple closed curve in $R^{k}$ $(k \geq 2)$ that is differentiable with non-zero derivative at a point $A_{0} \in J$ . For a tuple of positive reals $a_{1}, \dots, a_{n}$ …

math.GT2022

Rigidity of bordered polyhedral surfaces

Te Ba, Shengyu Li, Yaping Xu

This paper investigates the rigidity of bordered polyhedral surfaces. Using the variational principle, we show that bordered polyhedral surfaces are determined by boundary value an…