Geometries on surfaces /

"The projective, Mobius, Laguerre, and Minkowski planes over the real numbers are just a few examples of a host of fundamental classical topological geometries on surfaces that satisfy an axiom of joining. This book summarises all known major results and open problems related to these classical...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Polster, Burkard
Otros Autores: Steinke, Günter, 1955-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2001.
Colección:Encyclopedia of mathematics and its applications ; v. 84.
Temas:
Geometry, Projective.
Surfaces.
Géométrie projective.
Surfaces (Mathématiques)
MATHEMATICS > Geometry > General.
Geometry, Projective
Surfaces
Inzidenzgeometrie
Topologische Geometrie
Topologie.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Geometries for Pedestrians
  • Geometries of Points and Lines
  • Geometries on Surfaces
  • Flat Linear Spaces
  • Models of the Classical Flat Projective Plane
  • Convexity Theory
  • Continuity of Geometric Operations and the Line Space
  • Isomorphisms, Automorphism Groups, and Polarities
  • Topological Planes and Flat Linear Spaces
  • Classification with Respect to the Group Dimension
  • Constructions
  • Planes with Special Properties
  • Other Invariants and Characterizations
  • Related Geometries
  • Spherical Circle Planes
  • Models of the Classical Flat Mobius Plane
  • Derived Planes and Topological Properties
  • Constructions
  • Groups of Automorphisms and Groups of Projectivities
  • The Hering Types
  • Characterizations of the Classical Plane
  • Planes with Special Properties
  • Subgeometries and Lie Geometries
  • Toroidal Circle Planes
  • Models of the Classical Flat Minkowski Plane
  • Derived Planes and Topological Properties
  • Constructions
  • Automorphism Groups and Groups of Projectivities
  • The Klein-Kroll Types
  • Characterizations of the Classical Plane
  • Planes with Special Properties
  • Subgeometries and Lie Geometries
  • Cylindrical Circle Planes
  • Models of the Classical Flat Laguerre Plane
  • Derived Planes and Topological Properties
  • Constructions
  • Automorphism Groups and Groups of Projectivities
  • The Kleinewillinghofer Types
  • Characterizations of the Classical Plane
  • Planes with Special Properties
  • Subgeometries and Lie Geometries
  • Generalized Quadrangles.

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