Parker, J. R. (2006) 'Cone metrics on the sphere and Livne's lattices.', Acta mathematica., 196 (1). pp. 1-64.
We give an explicit construction of a family of lattices in PU (1, 2) originally constructed by Livné. Following Thurston, we construct these lattices as the modular group of certain Euclidean cone metrics on the sphere. We give connections between these groups and other groups of complex hyperbolic isometries.
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|Publisher Web site:||http://dx.doi.org/10.1007/s11511-006-0001-9|
|Date accepted:||No date available|
|Date deposited:||No date available|
|Date of first online publication:||July 2006|
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