Complete minimal submanifolds of compact Lie groups

Sigmundur Gudmundsson, Martin Svensson, Marina Ville

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    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.

    Original languageEnglish
    JournalMathematische Zeitschrift
    Volume282
    Issue number3
    Pages (from-to)993-1005
    ISSN0025-5874
    DOIs
    Publication statusPublished - 1. Apr 2016

    Keywords

    • Harmonic morphisms
    • Lie groups
    • Minimal submanifolds

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