We give a new method for manufacturing complete minimal submanifolds of compact Lie groups and their homogeneous quotient spaces. For this we make use of harmonic morphisms and basic representation theory of Lie groups. We then employ our method to construct many examples of compact minimal submanifolds of the special unitary groups.
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Gudmundsson, S., Svensson, M. & Ville, M. Complete minimal submanifolds of compact Lie groups. Math. Z. 282, 993–1005 (2016). https://doi.org/10.1007/s00209-015-1574-9
- Harmonic morphisms
- Minimal submanifolds
- Lie groups
Mathematics Subject Classification