Complete minimal submanifolds of compact Lie groups

Abstract : We give a new method for manifacturing 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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Contributor : Marina Ville <>
Submitted on : Tuesday, August 27, 2013 - 11:19:11 AM
Last modification on : Wednesday, December 4, 2019 - 10:01:21 AM

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Sigmundur Gudmundsson, Martin Svensson, Marina Ville. Complete minimal submanifolds of compact Lie groups. Mathematische Zeitschrift, Springer, 2016, 282 (3–4), pp.993-1005. ⟨10.1007/s00209-015-1574-9⟩. ⟨hal-00854441⟩

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