Special Lagrangian cones in C^3 and primitive harmonic maps

Simple item page
dc.creatorMcIntosh, Ian
dc.date2002-01-17
dc.date2002-07-02
dc.date.accessioned2026-07-07T04:45:55Z
dc.date.available2026-07-07T04:45:55Z
dc.descriptionIn this article I show that every special Lagrangian cone in C^3 determines, and is determined by, a primitive harmonic surface in the 6-symmetric space SU_3/SO_2. For cones over tori, this allows us to use the classification theory of harmonic tori to describe the construction of all the corresponding special Lagrangian cones. A parameter count is given for the space of these, and some examples found recently by Joyce are put into this context.
dc.descriptionVersion 2. LaTeX2e, 20 pages. Minor corrections and clarifications made. To appear in the Journal of the London Math Society
dc.identifierhttps://arxiv.org/abs/math/0201157
dc.identifierhttp://arxiv.org/abs/math/0201157
dc.identifierJ. London Math. Soc (3) 67 (2003) 769-789
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63136
dc.subjectDifferential Geometry
dc.subject58E20,53C43
dc.titleSpecial Lagrangian cones in C^3 and primitive harmonic maps
dc.typetext

Files

Collections

arXiv