Bieberbach groups and flat manifolds / Leonard S. Charlap

Auteur: Charlap, Leonard S. - AuteurType de document: Livre numériqueCollection: Universitext, (Online)Langue: anglaisÉditeur: Berlin : Springer, 1996 ISBN: 9781461386872 Note: ...The book contains many exercises, stimulating open problems with some hints. Chapter II also describes the differential geometric background of the topic, although it is not necessary for the main treatment. In the reviewer’s opinion the book is very hard to read, because of its complexity, but the reader will enjoy the author’s enthusiastic style of writing and this stimulates in overcoming the difficulties. (zbMath) Sujets MSC: 53C20 Differential geometry -- Global differential geometry -- Global Riemannian geometry, including pinching
20H15 Group theory and generalizations -- Other groups of matrices -- Other geometric groups, including crystallographic groups
30F10 Functions of a complex variable -- Riemann surfaces -- Compact Riemann surfaces and uniformization
20J06 Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups
14F30 Algebraic geometry -- (Co)homology theory -- p-adic cohomology, crystalline cohomology
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...The book contains many exercises, stimulating open problems with some hints. Chapter II also describes the differential geometric background of the topic, although it is not necessary for the main treatment. In the reviewer’s opinion the book is very hard to read, because of its complexity, but the reader will enjoy the author’s enthusiastic style of writing and this stimulates in overcoming the difficulties. (zbMath)

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