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| ON TFE THIRD CONJECTURE OF K.OGIUE |
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Citation： |
Dong Taiheng,Shui Naxiang.ON TFE THIRD CONJECTURE OF K.OGIUE[J].Chinese Annals of Mathematics B,1989,10(2):236~240 |
| Page view： 813
Net amount： 785 |
Authors： |
Dong Taiheng; Shui Naxiang |
Foundation： |
Projects Supported by the Science Fund of the Chinese Academy of Sciences. |
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| Abstract： |
In this paper, the authors prove following result:
Let $\[{M^n}\]$ be a complete Bechner-Kaehler submanifold of complex dimension $\[(n \ge 4)\]$ in a complex projective space $\[C{P^{n + p}}(1)\]$ of complex dimension $\[n + p\]$, endowed with the Fubini-Study metric of constant holomorphic sectional curvature 1, If the sectional curvature $\[K\]$
of $\[{M^n}\]$ satisfies $\[K < 1\]$, then codimension p of $\[{M^n}\]$ is not less then $\[n(n + 1)/2\]$. |
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