7 citations · 7 across the 3 of their papers we have counts for
4 papers
A nonlocal curve flow in centro-affine geometry
Xinjie Jiang, Yun Yang, Yanhua Yu
In this paper, the isoperimetric inequality in centro-affine plane geometry is obtained. We also investigate the long-term behavior of an invariant plane curve flow, whose evolutio…
The generalization of Sierpinski carpet and Sierpinski triangle in -dimensional space
Yun Yang, Yanhua Yu
We obtain a nature generalization for an affine Sierpinski carpet and Sierpinski triangle to -dimensional space, by using the generations and characterizations of affinely-equiv…
The moving frame on the fractal curves
Yun Yang, Yanhua Yu
Using the moving frame and invariants, any discrete curve in could be uniquely identified by its centroaffine curvatures and torsions. In this paper, depending on the affine…
The discrete centroaffine indefinite surface
Yun Yang, Yanhua Yu
In this paper we build the structure equations and the integrable systems for a discrete centroaffine indefinite surface in . At the same time, some centroaffine invariants a…