The Resource Geometries on surfaces, Burkard Polster and Günter Steinke

Geometries on surfaces, Burkard Polster and Günter Steinke

Label
Geometries on surfaces
Title
Geometries on surfaces
Statement of responsibility
Burkard Polster and Günter Steinke
Creator
Contributor
Subject
Language
eng
Summary
"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 geometries and their close (non-classical) relatives." "Topics covered include: classical geometries; methods for constructing non-classical geometries; classifications and characterisations of geometries. This work is related to a host of other fields including interpolation theory, convexity, differential geometry, topology, the theory of Lie groups and many more. The authors detail these connections, some of which are well-known, but many much less so." "Acting both as a referee for experts and as an accessible introduction for beginners, this book will interest anyone wishing to know more about incidence geometries and the way they interact."--Jacket
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Polster, Burkard
Index
index present
LC call number
QA471
LC item number
.P73 2001
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1955-
http://library.link/vocab/relatedWorkOrContributorName
Steinke, Günter
http://library.link/vocab/subjectName
  • Geometry, Projective
  • Surfaces
  • Géométrie projective
  • Surfaces (Mathématiques)
  • Geometry, Projective
  • Surfaces
  • Topologie
  • Inzidenzgeometrie
  • Topologische Geometrie
Label
Geometries on surfaces, Burkard Polster and Günter Steinke
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 458-482) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • 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
  • Geometries for Pedestrians
  • 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
  • Geometries of Points and Lines
  • 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
  • Geometries on Surfaces
  • Characterizations of the Classical Plane
  • Planes with Special Properties
  • Subgeometries and Lie Geometries
  • Generalized Quadrangles
  • 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
Dimensions
25 cm.
Extent
xxii, 490 pages
Isbn
9780521660587
Lccn
2001025921
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)46685690
  • (OCoLC)ocm46685690
Label
Geometries on surfaces, Burkard Polster and Günter Steinke
Publication
Bibliography note
Includes bibliographical references (p. 458-482) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • 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
  • Geometries for Pedestrians
  • 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
  • Geometries of Points and Lines
  • 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
  • Geometries on Surfaces
  • Characterizations of the Classical Plane
  • Planes with Special Properties
  • Subgeometries and Lie Geometries
  • Generalized Quadrangles
  • 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
Dimensions
25 cm.
Extent
xxii, 490 pages
Isbn
9780521660587
Lccn
2001025921
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)46685690
  • (OCoLC)ocm46685690

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