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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IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, BrazilIMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil
Dajczer, Marcos
Kasioumis, Theodoros
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Univ Ioannina, Dept Math, Ioannina 45110, GreeceIMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil
Kasioumis, Theodoros
Savas-Halilaj, Andreas
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Leibniz Univ Hannover, Inst Differentialgeometrie, Welfengarten 1, D-30167 Hannover, GermanyIMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil
Savas-Halilaj, Andreas
Vlachos, Theodoros
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Univ Ioannina, Dept Math, Ioannina 45110, GreeceIMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil