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

@article{Ionel2004BundleCO, title={Bundle Constructions of Calibrated Submanifolds in R^7 and R^8}, author={Marianty Ionel and Spiro Karigiannis and Maung Min-Oo}, journal={Mathematical Research Letters}, year={2004}, volume={12}, pages={493-512} }

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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