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math.DG2024
An eternal hypersurface flow arising in centro-affine geometry
Xinjie Jiang, Changzheng Qu, Yun Yang
In this paper, the existence and uniqueness for a specific centro-affine invariant hypersurface flow in are studied, and the corresponding evolutionary processes in both…
math.DG2016
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…
math.DG2016
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…