• Home
• About
• Browse
  • Browse by Year
  • Browse by Academic Unit
  • Browse by Author
• Register
• eTheses
• Statistics
• MU Library
• Repository Policies
• Cite from MURAL
• MURAL Libguide
• Login

On Algebraic Minimal Surfaces in R3 Deriving from Charge 2 Monopole Spectral Curves

Share and Export

Share and Export

Share and Export

ASCII Citation Atom BibTeX Dublin Core EP3 XML EP3 XML with Files Embedded EndNote Grid (abstract) HTML Citation METS MODS MPEG-21 DIDL Multiline CSV Multiline CSV (Staff) OpenURL ContextObject OpenURL ContextObject in Span RDF+N-Triples RDF+N3 RDF+XML Refer Reference Manager Simple Metadata Data Cite XML JSON OPENAIRE

Small, Anthony (2005) On Algebraic Minimal Surfaces in R3 Deriving from Charge 2 Monopole Spectral Curves. International Journal of Mathematics, 16.

PDF
Available under License Creative Commons Attribution Non-commercial Share Alike.
Download (144kB)

Abstract

We give formulae for minimal surfaces in R3 deriving, via classical osculation duality, from elliptic curves in a line bundle over P1. Specialising to the case of charge 2 monopole spectral curves we find that the distribution of Gaussian curvature on the auxiliary minimal surface reflects the monopole�s structure. This is elucidated by the behaviour of the surface�s Gauss map.

Item Type:	Article
Keywords:	Algebraic minimal surfaces; R3; Charge 2 Monopole Spectral Curves; Gauss map;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	718
Depositing User:	Dr. Anthony Small
Date Deposited:	05 Oct 2007
Journal or Publication Title:	International Journal of Mathematics
Publisher:	World Scientific Publishing
Refereed:	Yes
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

Downloads

Downloads per month over past year

Origin of downloads

Repository Staff Only (login required)

Item control page