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  • Gudmundsson, SigmundurLund University,Lunds universitet,Differential Geometry,Forskargrupper vid Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Lund University Research Groups,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH (author)

Complete minimal submanifolds of compact Lie groups

  • Article/chapterEnglish2016

Publisher, publication year, extent ...

  • 2015-11-28
  • Springer Science and Business Media LLC,2016
  • 13 s.

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  • LIBRIS-ID:oai:lup.lub.lu.se:4385f6d1-48a6-4009-9518-621664caeb40
  • https://lup.lub.lu.se/record/3994135URI
  • https://doi.org/10.1007/s00209-015-1574-9DOI

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  • Language:English
  • Summary in:English

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Notes

  • 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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  • Svensson, MartinUniversity of Southern Denmark (author)
  • Ville, MartinaUniversity Of Tours (author)
  • Differential GeometryForskargrupper vid Lunds universitet (creator_code:org_t)

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  • In:Mathematische Zeitschrift: Springer Science and Business Media LLC282, s. 993-10050025-58741432-1823

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