- Abstract:
-
In this paper we introduce the area of 2-ruled 4-folds in R^n (n=7 or 8), that is, submanifolds M of R^n that admit a fibration over some 2-fold Sigma such that each fibre is an affine 2-plane in R^n. This is motivated by the paper math.DG/0012060 by Joyce on ruled special Lagrangian 3-folds in C^3 and the work of the author in math.DG/0401123 on ruled associative 3-folds in R^7. We say that a 2-ruled 4-fold M is r-framed if we are given an oriented basis for each fibre in a smooth manner, an...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1112/S0024610706023313
-
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- Journal:
- Journal of the London Mathematical Society (2) 74 (2006), 219-243
- Volume:
- 74
- Issue:
- 1
- Pages:
- 219-243
- Publication date:
- 2004-01-13
- DOI:
- EISSN:
-
1469-7750
- ISSN:
-
0024-6107
- URN:
-
uuid:3fb8c27c-eeca-432e-8f89-383bfa4ba066
- Source identifiers:
-
30678
- Local pid:
- pubs:30678
- Copyright date:
- 2004
- Notes:
-
31 pages, LaTeX, some minor corrections, presentation changes
particularly in Section 5.2
Journal article
2-Ruled Calibrated 4-folds in R^7 and R^8
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