McIntosh, I. (Submitted: 2002) Special Lagrangian cones in C^3 and primitive harmonic maps. Journal of the London Mathematical Society, 67 (3). pp. 769-789. ISSN 1469-7750
Abstract
It is shown that every special Lagrangian cone in C3 determines, and is determined by, a primitive harmonic surface in the 6-symmetric space SU3/SO2. For cones over tori, this allows the classification theory of harmonic tori to be used to describe the construction of all the corresponding special Lagrangian cones. A parameter count is given for the space of these, and some of the examples found recently by Joyce are put into this context.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 09 Feb 2009 12:19 |
| Last Modified: | 09 Feb 2009 12:19 |
| Published Version: | http://dx.doi.org/10.1112/S0024610703004204 |
| Status: | Published |
| Publisher: | LMS Publications |
| Identification Number: | 10.1112/S0024610703004204 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:7679 |
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