Double-periodic maximal surfaces with singularities

Loading...
Thumbnail Image

Date

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 $3\times 3$-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.
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

Citation

Collections