English

The discrete centroaffine indefinite surface

Differential Geometry 2016-09-12 v1

Abstract

In this paper we build the structure equations and the integrable systems for a discrete centroaffine indefinite surface in R3\R^3. At the same time, some centroaffine invariants are obtained according to the structure equations. Using these centroaffine invariants, we study the Laplacian operator and the convexity of a discrete centroaffine indefinite surface. Furthermore, some interest examples are provided.

Keywords

Cite

@article{arxiv.1609.02702,
  title  = {The discrete centroaffine indefinite surface},
  author = {Yun Yang and Yanhua Yu},
  journal= {arXiv preprint arXiv:1609.02702},
  year   = {2016}
}
R2 v1 2026-06-22T15:44:43.470Z