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The principal circle bundle S2n+1(Pn(C), S1)

  • Mirjana Djorić
  • Masafumi Okumura
Chapter
Part of the Developments in Mathematics book series (DEVM, volume 19)

Abstract

It is well known that an odd-dimensional sphere is a circle bundle over the complex projective space (see [33]). Consequently, many geometric properties of the complex projective space are inherited from those of the sphere. Especially, at the end of this section, we prove that the complex projective space has constant holomorphic sectional curvature.

Keywords

Tangent Vector Ahler Manifold Complex Projective Space Complex Space Form Horizontal Lift 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.University of BelgradeBelgradeSerbia
  2. 2.Saitama UniversitySaitamaJapan

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