The discrete centroaffine indefinite surface

preprint2016arXivOpen access

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.

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