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Special Lagrangian cones in C^3 and primitive harmonic maps

McIntosh, I. (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

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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.

Item Type: Article
Institution: The University of York
Academic Units: The University of 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
URI: http://eprints.whiterose.ac.uk/id/eprint/7679

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