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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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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
Mathematical Research Letters
Volume:
12
Issue:
4
Pages:
493-512
Publication date:
2004-07-31
ISSN:
1073-2780
URN:
uuid:640e5d6f-1328-47f8-9cae-ef541dd92aa3
Source identifiers:
9142
Local pid:
pubs:9142
Language:
English
Keywords:

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