ENGLISH

Conformal Geometry of Discrete Groups and Manifolds (Degruyter Expositions in Mathematics)

By Boris N. Apanasov

Book information

Publisher
Walter de Gruyter Inc
Year
2000
ISBN
3110144042, 9783110144048
Open Library ID
OL9017000M
Language
english
Format
PDF
Filesize
13 MB (13547820 bytes)
Series
De Gruyter Expositions in Mathematics volume 32
Pages
535\535
Orientation
yes
Scanned
yes
Time added
2012-03-17 06:00:00

Description

This book presents a systematic account of conformal geometry of n-manifolds, as well as its Riemannian counterparts. A unifying theme is their discrete holonomy groups. In particular, hyperbolic manifolds, in dimension 3 and higher, are addressed. The treatment covers also relevant topology, algebra (including combinatorial group theory and varieties of group representations), arithmetic issues, and dynamics. Progress in these areas has been very fast sicne the 1980s, especially due to the Thurston geometrization program, leading to the solution of many difficult problems. A strong effort has been made to point out new connections and perspectives in the field and to illustrate various aspects of the theory. An intuitive approach which emphasizes the ideas behind the constructions is complemented by a large number of examples and figures which both use and support the reader's geometric imagination.

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