Advertisement

CR Submanifolds

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

Abstract

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. ▽).

Keywords

Vector Field Fundamental Form Normal Bundle Orthonormal Frame Curvature Vector 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations