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# Positively Curved Complex Submanifolds Immersed in a Complex Space Form

Takehiro Itoh
Proceedings of the American Mathematical Society
Vol. 72, No. 2 (Nov., 1978), pp. 341-345
DOI: 10.2307/2042803
Stable URL: http://www.jstor.org/stable/2042803
Page Count: 5
The author gives the partial solution for the conjecture; a Kaehler submanifold in a complex space form of constant holomorphic sectional curvature 1 is totally geodesic if ever its holomorphic sectional curvature is greater than $\frac{1}{2}$.