- 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...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.4310/CAG.2005.v13.n5.a8
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- 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
- Copyright date:
- 2004
- Notes:
-
43 pages, LaTeX; minor corrections, mainly typos, and slight changes
in presentation, including added references
Journal article
Constructing Associative 3-folds by Evolution Equations
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