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arXiv · 1609.02702

The discrete centroaffine indefinite surface

Yun Yang·Yanhua Yu
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Abstract

In this paper we build the structure equations and the integrable systems for a discrete centroaffine indefinite surface in $\R^3$. 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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Yun Yang, Yanhua Yu. 2016-09-09. The discrete centroaffine indefinite surface. https://arxiv.org/abs/1609.02702

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