Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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EMBEDDING OF THE TEICHMULLER SPACE INTO THE GOLDMAN SPACE

  • Kim, Hong-Chan (Department of Mathematics Education Korea University)
  • Published : 2006.11.01
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Abstract

In this paper we shall explicitly calculate the formula of the algebraic presentation of an embedding of the Teichmiiller space ${\Im}(M)$ into the Goldman space g(M). From this algebraic presentation, we shall show that the Goldman's length parameter on g(M) is an isometric extension of the Fenchel-Nielsen's length parameter on ${\Im}(M)$.

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References

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