Abstract
The notion of coassociative submanifolds is defined as the special class of the minimal submanifolds in G 2-manifolds. In this talk, we introduce the method of [5] to construct coassociative submanifolds by using the symmetry of the Lie group action. As an application, we give explicit examples in the 7-dimensional Euclidean space and in the anti-self-dual bundle over the 4-sphere.
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Acknowledgements
The author is grateful to the organizers for the opportunity of talking in 2014 ICM Satellite Conference on “Real and Complex Submanifolds” and the 18th International Workshop on Differential Geometry. The author would like to congratulate Prof. Young Jin Suh on being selected seventeen distinguished mathematicians of Korea by the National Academy of Sciences.
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Kawai, K. (2014). Construction of Coassociative Submanifolds. In: Suh, Y.J., Berndt, J., Ohnita, Y., Kim, B.H., Lee, H. (eds) Real and Complex Submanifolds. Springer Proceedings in Mathematics & Statistics, vol 106. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55215-4_44
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DOI: https://doi.org/10.1007/978-4-431-55215-4_44
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