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On Thurston's formulation and proof of Andreev's theorem

Part of the Lecture Notes in Mathematics book series (LNM,volume 1435)

Keywords

  • Riemann Sphere
  • Isometric Embedding
  • Linear Fractional Transformation
  • Circle Packing
  • Tangent Circle

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References

  1. E.M. Andreev, On convex polyhedra in Lobacevskii spaces, Math. USSR Sb. 10 (1970), 413–440.

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  2. E.M. Andreev, On convex polyhedra of finite volume in Lobacevskii space, Mat. Sb., Nor. Ser. 83 (1970), 256–260 (Russian); Math. USSR, Sb. 12 (1970), 255–259 (English).

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  3. B. Rodin, D. Sullivan, The convergence of circle packings to the Riemann mapping, J. Diff. Geom. 26 (1987), 349–360.

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  4. W.P. Thurston, The Geometry and Topology of 3-manifolds, Princeton University Notes, Princeton, New Jersey, 1980.

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  5. W.P. Thurston, The finite Riemann mapping theorem, invited address, International Symposium in Celebration of the Proof of the Bieberbach Conjecture. Purdue University, March 1985.

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© 1990 Springer-Verlag

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Marden, A., Rodin, B. (1990). On Thurston's formulation and proof of Andreev's theorem. In: Ruscheweyh, S., Saff, E.B., Salinas, L.C., Varga, R.S. (eds) Computational Methods and Function Theory. Lecture Notes in Mathematics, vol 1435. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087901

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  • DOI: https://doi.org/10.1007/BFb0087901

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52768-8

  • Online ISBN: 978-3-540-47139-4

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