CR-SUBMANIFOLDS OF A QUASl-KAEHLER MANIFOLD
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Abstract
Let $M$ be a CR-submanifold of a quasi-Kaehler manifold $N$. Sufficient conditions for the holomorphic distribution $D$ in $M$ to be integrable are derived. We also show that $D$ is minimal. It follows that an (almost) complex submanifold of a quasi-Kaehler manifold is minimal, this generalizes the well known result that a complex submanifold of a Kaehler manifold is minimal.
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References
A. Bejancu, "CR-submanifolds of a Kaehler manifold I," Proc. Amer. Math. Soc., 69 (1978), 135- 14 2 .
A. Bejancu, Geometry of CR-submanifolds, Reidel Holland, 1986.
B. Y. Chen, Geometry of submanifolds, Marcel Dekker, 1973.
B. Y. Chen, "Cohomology of CR-submanifolds," Ann. Fae. Sci. Toulouse, Math., 3 (1981), 167-172.
A. Gray, "Minimal varieties and almost Hermitian submanifolds," Michigan Math. J., 12 (1965), 273-287.
S. H. Kon and Sin-Leng Tan, "CR-submanifolds of a nearly Kaehlerian Manifold," Bull. Malaysian Math. Soc. (Second Series), 14 (1991), 31-38.