Polylogarithms and Hyperbolic volumes

  • Matilde N. Laĺın
  • Published 2007

Abstract

In this introduction we follow mainly Milnor [6]. Hyperbolic geometry is a non-Euclidean geometry, meaning that it starts with the negation of the parallel postulate of Euclidean geometry. The first rigorous works in the subject were due to Lobachevsky (1829), Bolyai (1832), and Gauss (late 1820’s) . There are several models for the hyperbolic space, but we will concentrate in the Halfspace model of Beltrami (1868). Our space is given by H = {(x1, . . . , xn−1, xn) |xi ∈ R, xn > 0},

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Cite this paper

@inproceedings{Lan2007PolylogarithmsAH, title={Polylogarithms and Hyperbolic volumes}, author={Matilde N. Laĺın}, year={2007} }