On connectedness of chaotic sections of some 3-periodic surfaces
Geometric Topology
2012-07-06 v4 Dynamical Systems
Abstract
In the present paper we construct a Z^{3}-periodic surface in R^{3} whose almost all plane sections of a certain direction consist of exactly one connected component. This question originates from a problem of Novikov on the semi- classical motion of an electron in strong magnetic field. Our main tool is the Rips machine algorighm for band complexes.
Keywords
Cite
@article{arxiv.1112.5870,
title = {On connectedness of chaotic sections of some 3-periodic surfaces},
author = {Alexandra Skripchenko},
journal= {arXiv preprint arXiv:1112.5870},
year = {2012}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1010.1820