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Chen's problem on mixed foliate CR-submanifolds

Published online by Cambridge University Press:  17 April 2009

Mohammed Ali Bashir
Mohammed Ali Bashir
Affiliation:
Mathematics DepartmentCollege of ScienceKing Saud UniversityP.O. Box 2455, Riyadh 11451Saudi Arabia
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Abstract

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We prove that the simply connected compact mixed foliate CR-submanifold in a hyperbolic complex space form is either a complex submanifold or a totally real submanifold. This is the problem posed by Chen.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 1 , August 1989 , pp. 157 - 160
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Bejancu, A., ‘CR-submanifolds of a Kaehler manifold’, Proc. Amer. Math. Soc. 69 (1978), 135–142.Google Scholar
[2]Chen, B.Y., ‘CR-submanifolds of a Kaehler manifold II’, J. Differential Geom. 16 (1981), 493–509.Google Scholar