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Thurston’s bends and geometric deformations of conformal structures. (English) Zbl 0624.30045
Complex analysis and applications, Proc. Conf., Varna/Bulg. 1985, 14-28 (1986).
[For the entire collection see Zbl 0607.00007.]
In the present paper the author, using the idea of his work [Riemann surfaces and related topics: Proc. 1978 Stony Brook Conf., Ann. Math. Stud. 97, 21-31 (1981; Zbl 0464.30037)] constructs an example of a discrete group of motions of a 3-dimensional hyperbolic space \(H^ 3\) which admits a k-parametric continuous family of deformations in the Möbius group Möb\((\bar R^ 3)\).
Reviewer: N.A.Gusevskij

MSC:
30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization)
20H15 Other geometric groups, including crystallographic groups
20H10 Fuchsian groups and their generalizations (group-theoretic aspects)