On the index theorem of complex submanifold in an indefinite complex hyperbolic space. (English) Zbl 0683.53049
The author studies critical point theory of complex submanifolds in indefinite complex hyperbolic spaces. The results are similar to those in complex projective spaces derived by T. E. Cecil [Nagoya Math. J. 55, 5-31 (1974; Zbl 0273.53017)].
Reviewer: J.Berndt
MSC:
| 53C40 | Global submanifolds |
| 53C50 | Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics |
| 57R70 | Critical points and critical submanifolds in differential topology |
