| Description |
1 online resource (388 pages) |
| Series |
De Gruyter Studies in Mathematics ; v. 29 |
|
De Gruyter studies in mathematics.
|
| Contents |
Preface -- Life and work of the Authors by Bent Fuglede -- I Möbius transformations and non-euclidean geometry -- 1 Pencils of circles -- inversive geometry -- 2 Cross-ratio -- 3 Möbius transformations, direct and reversed -- 4 Invariant points and classification of Möbius transformations -- 5 Complex distance of two pairs of points -- 6 Non-euclidean metric -- 7 Isometric transformations -- 8 Non-euclidean trigonometry -- 9 Products and commutators of motions -- II Discontinuous groups of motions and reversions -- 10 The concept of discontinuity |
|
22 Complete decomposition and normal form in the case of quasi-compactness -- 23 Exhaustion in the case of non-quasi-compactness -- V Isomorphism and homeomorphism -- 24 Topological and geometrical isomorphism -- 25 Topological and geometrical homeomorphism -- 26 Construction of g-mappings. Metric parameters. Congruent groups -- Symbols and definitions -- Alphabets -- Bibliography -- Index |
| Summary |
Fuchsian groups play a central role in various important fields of mathematics. The current book is based on what became known as the famous Fenchel-Nielsen manuscript. Jakob Nielsen (1890-1959) started this project well before World War II, Werner Fenchel (1905-1988) joined later and overtook the much of the preparation of the manuscript. Professor Asmus Schmidt (University of Copenhagen) is the editor of this first publication in book form of the Fenchel-Nielsen notes. It is on his initiative that the long and difficult way of getting the original notes into the proper shape ready for public |
| Subject |
Discontinuous groups.
|
|
Isometrics (Mathematics)
|
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Discontinuous groups
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Isometrics (Mathematics)
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| Form |
Electronic book
|
| Author |
Fenchel, Werner
|
|
Schmidt, Asmus L
|
| ISBN |
9783110891355 |
|
3110891352 |
|
