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

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

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Differential Geometry, 53C38; 53C29

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http://salesiana.dossiersoluciones.com/handle/123456789/72073

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408005
 http://arxiv.org/abs/math/0408005
 Mathematical Research Letters 12, 493-512 (2005)

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arXiv