• Title/Summary/Keyword: Park In Joon

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AFFINE INNER AUTOMORPHISMS BETWEEN COMPACT CONNECTED SEMISIMPLE LIE GROUPS

  • Park, Joon-Sik
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.859-867
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    • 2002
  • In this paper, we get a necessary and sufficient condition for an inner automorphism between compact connected semisimple Lie groups to be an atone transformation, and obtain atone transformations of (SU(n),g) with some left invariant metric g.

RIBAUCOUR TRANSFORMATIONS ON LORENTZIAN SPACE FORMS IN LORENTZIAN SPACE FORMS

  • Park, Joon-Sang
    • Journal of the Korean Mathematical Society
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    • v.45 no.6
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    • pp.1577-1590
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    • 2008
  • We study Ribaucour transformations on nondegenerate local isometric immersions of Lorentzian space forms into Lorentzian space forms with the same sectional curvatures which have flat normal bundles. They can be associated to dressing actions on the solution space of Lorentzian Grassmannian systems.