Infinite Periodic Discrete Minimal Surfaces Without Self-Intersections
微分几何
2008-04-25 v1
摘要
A triangulated piecewise-linear minimal surface in Euclidean 3-space defined using a variational characterization is critical for area amongst all continuous piecewise-linear variations with compact support that preserve the simplicial structure. We explicitly construct examples of such surfaces that are embedded and are periodic in three independent directions of Euclidean 3-space.
关键词
引用
@article{arxiv.math/0410314,
title = {Infinite Periodic Discrete Minimal Surfaces Without Self-Intersections},
author = {Wayne Rossman},
journal= {arXiv preprint arXiv:math/0410314},
year = {2008}
}