Geometry of the triangle equation on two-manifolds
Mathematical Physics
2021-09-01 v2 Analysis of PDEs
Differential Geometry
math.MP
Abstract
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 or triangles. In this work, we develop the theory of these operators and equations, showing their similarity with complex derivatives.
Cite
@article{arxiv.math-ph/0208041,
title = {Geometry of the triangle equation on two-manifolds},
author = {I. A. Dynnikov and S. P. Novikov},
journal= {arXiv preprint arXiv:math-ph/0208041},
year = {2021}
}
Comments
latex, 23 pages, 10 figures