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Kleinian Groups (Grundlehren der mathematischen Wissenschaften) by Bernard Maskit

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Published by Springer .
Written in English

Subjects:

  • Algebraic geometry,
  • Groups & group theory,
  • Kleinian groups,
  • Science,
  • Calculus,
  • Group Theory,
  • History,
  • Mathematics / Calculus,
  • Mathematics / Group Theory,
  • Mathematics-Group Theory,
  • Science-History

Book details:

The Physical Object
FormatHardcover
Number of Pages326
ID Numbers
Open LibraryOL9054215M
ISBN 103540177469
ISBN 109783540177463

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A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Möbius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex by: The modern theory of Kleinian groups starts with the work of Lars Ahlfors and Lipman Bers; specifically with Ahlfors' finiteness theorem, and Bers' observation that their joint work on the Beltrami. This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincaré, Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann sphere. A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Möbius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus. About this book Introduction The modern theory of Kleinian groups starts with the work of Lars Ahlfors and Lipman Bers; specifically with Ahlfors' finiteness theorem, and Bers' observation that their joint work on the Beltrami equation has deep implications for the theory of Kleinian groups and their deformations. This book celebrates the huge contribution to post-Kleinian psychoanalytic theory and clinical work made by the late Hanna Segal. An international group of influential psychoanalysts, including Heinz Weiß, John Steiner, David Bell and Claudia Frank, reflect upon some of her key ideas, and their continuing relevance to psychoanalytic thought and practice today. Keywords: Kleinian groups, fundamental domains, modular groups Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Kleinian Groups in Higher Dimensions Michael Kapovich To the memory of Sasha Reznikov Abstract. This is a survey of higher-dimensional Kleinian groups, i.e., discrete isometry groups of the hyperbolic n-space Hn for n ≥ 4. Our main emphasis is on the topological and geometric aspects of higher-dimensional Kleinian. Book description The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Moebius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis. ↑ kleinian, a tool for visualizing Kleinian groups Posted on March 4, by Danny Calegari ↑ kleinian by D Wright ↑ FRactal forum: Kleinian groups - an immense collection with sources! ↑ Programs by Curtis McMullen ↑ Kleinian and Quasi-Fuchsian Limit Sets: .