[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2006.43.6.1231

EMBEDDING OF THE TEICHMULLER SPACE INTO THE GOLDMAN SPACE

Kim, Hong-Chan (Department of Mathematics Education Korea University)

Publication Information

Journal of the Korean Mathematical Society / v.43, no.6, 2006 , pp. 1231-1252 More about this Journal

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 ${\Im}(M)$ .

Keywords

convex real projective structure; Hilbert metric; Teichmuller space; Goldman space; length parameter;

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