| ON TFE THIRD CONJECTURE OF K.OGIUE |
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| 作者姓名： | Dong Taiheng Shui Naxiang |
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| 作者单位： | Department of Mathematncs Hangzhou University Hangzhou，Zhejiang China |
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| 基金项目： | Projects Supported by the Science Fund of the Chinese Academy of Sciences. |
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| 摘 要： | In this paper, the authors prove following result:Let M~n be a complete Bechner-Kaehler submanifold of complex dimension (n≥4) in a complex projective space CP~(n p)(1) of complex dimension n p, endowed with the FubiniStudy 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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| 收稿时间： | 1986/9/10 0:00:00 |
ON TFE THIRD CONJECTURE OF K.OGIUE |
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| Dong Taiheng,Shui Naxiang.ON TFE THIRD CONJECTURE OF K.OGIUE[J].Chinese Annals of Mathematics,Series B,1989,10(2):236-240. |
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| Authors: | Dong Taiheng and Shui Naxiang |
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| Institution: | Department of Mathematics, Hangzhou University, Hangzhou, Zhejiang, China. and Department of Mathematics, Hangzhou University, Hangzhou, Zhejiang, China. |
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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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