The discrete centroaffine indefinite surface
Abstract
In this paper we build the structure equations and the integrable systems for a discrete centroaffine indefinite surface in 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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