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CR submanifolds of maximal CR dimension

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

Abstract

In this section we continue our study of CR submanifolds of complex manifolds in the special case when the CR dimension is maximal. Having in mind Proposition 7.8 let us suppose that the ambient space is a complex manifold \(\,(\overline M^{\frac{n+p}{2}},J)\,\) equipped with a Hermitian metric \(\,\overline g\). If M is an n-dimensional CR submanifold of maximal CR dimension of \(\,\overline M^{\frac{n+p}{2}}\,\), then at each point x of M, the real dimension of \(JT_x(M) \cap T_x(M)\) is \(n-1\).

Keywords

Fundamental Form Complex Manifold Contact Structure Ambient Space Ahler Manifold 
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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