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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Djorić, M., Okumura, M. (2010). The principal circle bundle S2n+1(Pn(C), S1). In: CR Submanifolds of Complex Projective Space. Developments in Mathematics, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0434-8_9
Download citation
DOI: https://doi.org/10.1007/978-1-4419-0434-8_9
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-0433-1
Online ISBN: 978-1-4419-0434-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)