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Follow these links if you are interested in: Please send your comments to Burkard.Polster@sci.monash.edu.au
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Geometries on Surfaces is published by Cambridge University Press in the Series Encyclopedia of Mathematics and its Applications. The Euclidean plane and the geometry of circles on a sphere have a number of features in common. For example, the point sets of both geometries are surfaces, the lines or circles are curves that are nicely embedded in these surfaces and both geometries satisfy an "axiom of joining"---in the Euclidean plane two points are contained in exactly one line and in the geometry on the sphere three points are contained in one circle. These two geometries are just two examples of a host of classical examples of geometries on surfaces. This book is about these classical geometries and their close relatives which live on the same surfaces, have the same kind of lines and satisfy the same axioms as their classical counterparts. Our book tries to summarize all major results about geometries on surfaces. It also includes many results about these geometries that will appear for the first time in this book. |
