Discontinuous Groups of Isometries in the Hyperbolic Plane.

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 m...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nielsen, Jakob
Otros Autores: Fenchel, Werner, Schmidt, Asmus L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 2003.
Colección:De Gruyter studies in mathematics.
Temas:
Discontinuous groups.
Isometrics (Mathematics)
Groupes discontinus.
Isométrie (Mathématiques)
Discontinuous groups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

Ejemplares similares