Realizations of Rank One Symmetric Spaces of Compact Type

  • Valery V. VolchkovEmail author
  • Vitaly V. Volchkov
Part of the Springer Monographs in Mathematics book series (SMM)


Real, complex, quaternionic, and octave projective spaces are highlighted throughout the chapter. Euclidean spaces are regarded as parts of the corresponding projective spaces. A detailed discussion of this imbedding is presented. Many formulas that are useful and important, but usually left to books, are given in the text. This is the source of very extensive information about compact symmetric spaces of rank one.


Projective Space Symmetric Space Isometry Group Complex Projective Space Beltrami Operator 
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Copyright information

© Springer-Verlag London Limited 2009

Authors and Affiliations

  1. 1.Mathematical DepartmentDonetsk National UniversityDonetskUkraine

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