A Survey of Complex Hyperbolic Kleinian Groups

Michael Kapovich ()
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Michael Kapovich: UC Davis, Department of Mathematics

Chapter Chapter 2 in In the Tradition of Thurston II, 2022, pp 7-51 from Springer

Abstract: Abstract This survey of discrete subgroups of isometries of complex hyperbolic spaces is aimed to discuss interactions between function theory on complex hyperbolic manifolds and the theory of discrete groups. We present a number of examples and basic results about complex-hyperbolic Kleinian groups. The appendix to the paper written by Mohan Ramachandran includes a proof of a result known as “Burns’ Theorem” about ends of complex-hyperbolic manifolds.

Keywords: Discrete groups; Complex-hyperbolic geometry (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-97560-9_2

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DOI: 10.1007/978-3-030-97560-9_2

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