SPACE INTO THE GOLDMAN SPACE
88 Citations•2006•
H. Kim
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Abstract
In this paper we shall explicitly calculate the formula of the algebraic presentation of an embedding of the Teichmuller space T(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 T(M):