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Constructing Associative 3-folds by Evolution Equations

Abstract:

This paper gives two methods for constructing associative 3-folds in R^7, based around the fundamental idea of evolution equations, and uses these methods to construct examples of these geometric objects. The paper is a generalisation of the work by Joyce in math.DG/0008021, math.DG/0008155, math.DG/0010036 and math.DG/0012060 on special Lagrangian 3-folds in C^3. The two methods described involve the use of an affine evolution equation with affine evolution data and the area of ruled submani...

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Publication status:
Published

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Publisher copy:
10.4310/CAG.2005.v13.n5.a8

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
Number
Volume:
5
Issue:
5
Pages:
999-1037
Publication date:
2004-01-13
DOI:
EISSN:
1944-9992
ISSN:
1019-8385
URN:
uuid:6ed03ec6-4971-4de4-889e-0314a46e9967
Source identifiers:
7592
Local pid:
pubs:7592
Language:
English
Keywords:

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