Abstract
In this section we first recall the so-called Bochner technique and we give a sufficient condition for a minimal CR submanifold M n of maximal CR dimension of the complex projective space \({\bf P}^{\frac{n+p}{2}}({\bf C}) to be {\it M}{r,s}^C\), 2r+2s=n-1, namely, a tube over a totally geodesic complex subspace.
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 scalar curvature of CR submanifolds of maximal CR dimension. 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_23
Download citation
DOI: https://doi.org/10.1007/978-1-4419-0434-8_23
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)