ar X iv : m at h - ph / 0 20 80 41 v 2 9 O ct 2 00 2 Geometry of the Triangle Equation on Two - Manifolds ∗
نویسنده
چکیده
A non-traditional approach to the discretization of differential-geometrical connections was suggested by the authors in 1997. At the same time we started studying first order difference “black and white triangle operators (equations)” on triangulated surfaces with a black and white coloring of triangles. In this work, we develop the theory of these operators and equations, showing their similarity with the complex derivatives ∂ and ∂.
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A non-traditional approach to the discretization of differential-geometrical connections was suggested by the authors in 1997. At the same time we started studying first order difference “black and white triangle operators (equations)” on triangulated surfaces with a black and white coloring of triangles. In this work, we develop the theory of these operators and equations, showing their simila...
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تاریخ انتشار 2008