SECTIONAL CURVATURE OF KAEHLER SUBMANIFOLDS OF A COMPLEXPROJCETIVE SPACE

Citation:

Liao Ruijia.SECTIONAL CURVATURE OF KAEHLER SUBMANIFOLDS OF A COMPLEXPROJCETIVE SPACE[J].Chinese Annals of Mathematics B,1988,9(3):292~296
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Authors:

Liao Ruijia;
Abstract: Let $\[{M^n}(n \ge 2)\]$ be a complex Kaelaler submanifold immersed in the complex projective space $\[C{P^m}(1)\]$. Let $K$ be the sectional curvature of $\[{M^n}\]$. Then $\[K \ge 1/8\]$ if and only if $$\[{M^n}\]$$ is an imbedding submanifold congruent to the standard imbedding $$\[C{P^m}(1)\]$$ or $\[C{P^n}(\frac{1}{2})\]$.

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