Bundle Constructions of Calibrated Submanifolds in R^7 and R^8

Ionel, M; Karigiannis, S; Min-Oo, M

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}.

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Published

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APA Style

Ionel, M., Karigiannis, S., & Min-Oo, M. (2004). Bundle Constructions of Calibrated Submanifolds in R^7 and R^8. Mathematical Research Letters, 12(4), 493–512.

MLA Style

Ionel, M., et al. “Bundle Constructions of Calibrated Submanifolds in R^7 and R^8.” Mathematical Research Letters, vol. 12, no. 4, Mathematical Research Letters, 2004, pp. 493–512.

Chicago Style

Ionel, M, S Karigiannis, and M Min-Oo. 2004. “Bundle Constructions of Calibrated Submanifolds in R^7 and R^8.” Mathematical Research Letters 12 (4): 493–512.
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Authors

Ionel, M More by this author

+ Karigiannis, S More by this author

Institution:

University of Oxford

Department:

Oxford, MPLS, Mathematical Inst

Min-Oo, M More by this author

Bibliographic Details

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

Item Description

Language:: English
Keywords:: 53C38; 53C29

math.DG

Terms of use

Notes:: 22 pages; for Revised Version: Minor changes, improved notation,
streamlined exposition

License:: Terms and Conditions of Use for Oxford University Research Archive

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