离散各向同性曲面在$R^{2,1}$、$R^{3,1}$和$R^{2,2}$中的Weierstrass表示
The Weierstrass representation of discrete isotropic surfaces in $R^{2,1}$, $R^{3,1}$ and $R^{2,2}$
摘要：
利用一个可积的离散Dirac算子，我们构造了类时曲面的Weierstrass表示的离散形式，这些曲面在$R^{2,1}$，$R^{3,1}$和$R^{2,2}$中沿各向同性方向参数化.相应的离散曲面具有各向同性的边。我们表明，任何离散表面满足一般单调性条件，并有各向同性的边缘承认这样的表示。
英文摘要：
Using an integrable discrete Dirac operator, we construct a discrete version of the Weierstrass representation of time-like surfaces parametrized along isotropic directions in $R^{2,1}$, $R^{3,1}$ and $R^{2,2}$. The corresponding discrete surfaces have isotropic edges. We show that any discrete surface satisfying a general monotonicity condition and having isotropic edges admits such a representation.
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