| 复射影空间的子流形的谱 |
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| 引用本文： | 周振荣.复射影空间的子流形的谱[J].武汉工业学院学报,1994(1). |
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| 作者姓名： | 周振荣 |
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| 摘 要： | 本文证明了复射影空间的不变与反不变子流形的第二基本形式的平行性由作用在０，１，２─形式上的Ｌａｐｌａｃｅ算子的谱决定，而全测地子流形在某些条件下由作用在任何一个Ｐ─形式上的Ｌａｐｌａｃｅ算子的谱所刻划。
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| 关 键 词： | 复射影空间，不变（反不变）子流形，Laplace算子的谱 |
THE SPECTRA OF SUBMANIFOLOS OF COMPLEX PROJECTIVE SPCE |
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| Zhou Zhenrong.THE SPECTRA OF SUBMANIFOLOS OF COMPLEX PROJECTIVE SPCE[J].Journal of Wuhan Polytechnic University,1994(1). |
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| Authors: | Zhou Zhenrong |
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| Affiliation: | Basic Course Department |
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| Abstract: | In the article,we verify that the parallelism of the second fundamental form of the invariant and anti-invariant submanifold of complex projective space is determined by the spectra of the Laplace operators acting on 0, 1 and 2-form bundles,while a totally geodesic submanifold,under some conditions,is characterized by the spectrum of the Laplace operator acting on any one of p-form bundles. |
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| Keywords: | complex projective space invariant (anti-invariant) submanifold spectrum of Laplace operator |
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