CR Submanifolds

  • Kentaro Yano
  • Masahiro Kon
Part of the Progress in Mathematics book series (PM, volume 30)


Let \(\bar M\) be a complex m-dimensional (real 2m-dimensional) Kaehlerian manifold with almost complex structure J and with Kaehlerian metric g. Let M be a real n-dimensional Riemannian manifold isometrically immersed in \(\bar M\). We denote by the same g the Riemannian metric tensor field induced on M from that of \(\bar M\). The operator of covariant differentiation in \(\bar M\) (resp. M) will be denoted by \(\bar \nabla \) (resp. ▽).


Vector Field Fundamental Form Normal Bundle Orthonormal Frame Curvature Vector 


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Copyright information

© Birkhäuser Boston, Inc. 1983

Authors and Affiliations

  • Kentaro Yano
    • 1
  • Masahiro Kon
    • 2
  1. 1.Department of MathematicsTokyo Institute of TechnologyTokyo, 152Japan
  2. 2.Hirosaki UniversityHirosakiJapan

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