Geometry of möbius transformations : elliptic, parabolic and hyperbolic actions of SL2, (R) /

This book is a unique exposition of rich and inspiring geometries associated with Mobius transformations of the hypercomplex plane. The presentation is self-contained and based on the structural properties of the group SL[symbol](real number). Starting from elementary facts in group theory, the auth...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kisil, Vladimir V.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London, UK : Singapore : Imperial College Press ; World Scientific, 2012.
Temas:
Möbius transformations.
Transformations de Möbius.
MATHEMATICS > Geometry > General.
Möbius transformations
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Erlangen programme : preview
  • Groups and homogeneous spaces
  • Homogeneous spaces from the group SL₂(R)
  • The extended Fillmore-Springer-Cnops construction
  • Indefinite product space of cycles
  • Joint invariants of cycles: orthogonality
  • Metric invariants in upper half-planes
  • Global geometry of upper half-planes
  • Invariant metric and geodesics
  • Conformal unit disk
  • Unitary rotations.

Ejemplares similares