Real hypersurfaces of a complex projective space

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


Let M be a real hypersurface of a Kähler manifold \((\overline M, J)\) and let \(\xi\) be its unit normal vector field. Then M is a CR submanifold of maximal CR dimension and \(\xi\) is the distinguished normal vector field, used to define the almost contact structure F on M, induced from the almost complex structure J of \(\overline M\). Moreover, since a real hypersurface M of a Kähler manifold \(\overline M\) has two geometric structures: an almost contact structure F and a submanifold structure represented by the shape operator A with respect to \(\xi\), in this section we study the commutativity condition of A and F and we present its geometric meaning.


Principal Curvature Contact Structure Ahler Manifold Real Hypersurface Shape Operator 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

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

Personalised recommendations