Extended Space and Spherical Geometry

  • Loo-keng Hua


So far we have generalized from the unit disc to the unit ball. Now we shall take the whole plane (the Gaussian plane together with the point at infinity) and the Möbius group which acts on the plane and generalize the whole set-up to n-dimensional space. Our present discussion will be somewhat abstract, but the reader may draw an analogy with Chapter 1 or think of expressions of the transformations which leave the unit ball invariant in order to come to grips with this generalization.


Unit Ball Conformal Mapping Spherical Geometry Extended Space Summation Index 
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Copyright information

© Springer-Verlag New York Inc. 1981

Authors and Affiliations

  • Loo-keng Hua
    • 1
  1. 1.Institute of Applied MathematicsAcademia SinicaBeijingPeople’s Republic of China

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