Journal article
Bundle Constructions of Calibrated Submanifolds in R^7 and R^8
- Abstract:
- We construct calibrated submanifolds of R^7 and R^8 by viewing them as total spaces of vector bundles and taking appropriate sub-bundles which are naturally defined using certain surfaces in R^4. We construct examples of associative and coassociative submanifolds of R^7 and of Cayley submanifolds of R^8. This construction is a generalization of the Harvey-Lawson bundle construction of special Lagrangian submanifolds of R^{2n}.
- Publication status:
- Published
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Authors
Bibliographic Details
- Journal:
- Mathematical Research Letters
- Volume:
- 12
- Issue:
- 4
- Pages:
- 493-512
- Publication date:
- 2004-07-31
- ISSN:
-
1073-2780
- Source identifiers:
-
9142
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:9142
- UUID:
-
uuid:640e5d6f-1328-47f8-9cae-ef541dd92aa3
- Local pid:
- pubs:9142
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2004
- Notes:
-
22 pages; for Revised Version: Minor changes, improved notation,
streamlined exposition
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