Double-periodic maximal surfaces with singularities
Differential Geometry
2009-03-10 v1 Complex Variables
Abstract
We construct and study a family of double-periodic almost entire solutions of the maximal surface equation. The solutions are parameterized by a submanifold of -matrices (the so-called generating matrices). We show that the constructed solutions are either space-like or of mixed type with the light-cone type isolated singularities.
Cite
@article{arxiv.0903.1368,
title = {Double-periodic maximal surfaces with singularities},
author = {Vladimir V. Sergienko and Vladimir G. Tkachev},
journal= {arXiv preprint arXiv:0903.1368},
year = {2009}
}
Comments
An full version in English of "Doubly periodic maximal surfaces with singularities" (in Russian). Proceedings on Analysis and Geometry, 571-584, Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 2000