| Bochner-Kaehler流形的共形不变量 |
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| 引用本文： | 黄城超. Bochner-Kaehler流形的共形不变量[J]. 汕头大学学报(自然科学版), 1987, 0(1) |
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| 作者姓名： | 黄城超 |
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| 作者单位： | 汕头大学数学系 |
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| 摘 要： | 本文是继续作者前文的工作,找到了在关于L′反不变子流形上的共形不变量.此不变量由子流形的第二基本量及复结构系数表示,在几种特殊的情形下,此不变量有简单的表达式,本文还讨论了拟复空型的性质,并讨论了拟复空型中关于L′反不变子流形的共形不变量,此不变量在某些场合下是人们熟知的.
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| 关 键 词： | Bochner-Kaehler流形 关于L′反不变子流形 共形不变量 拟复空型 |
The Conformal Invariant in a Bochner Kaehler Manifold |
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| Huang Chengchao. The Conformal Invariant in a Bochner Kaehler Manifold[J]. Journal of Shantou University(Natural Science Edition), 1987, 0(1) |
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| Authors: | Huang Chengchao |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The present author has introduced and studied the antiinvariant submanifold with respect to L'[1]. The purpose of this paper is to study further the geometry of anti-invariant submanifolds with respect to L' in a Kaehlerian manifold. In this paper, we find the conformal invariant on the anti-invariant submanifold with respect to L', which is expressed by the second fundamentol form and the complex structure coefficident of the submanifold. Next, we consider the quasi-complex space form, and give the explicit expression of the conformal invariant on the anti-invariant submanifold with respect to L' in a quasi-complex space form. |
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| Keywords: | Bochner-Kaehler manifold Anti-invariant submanifold with respect to L' Conformal invariant Quasi-complex space form |
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