| 四元空间形式中具有常数Khler角的浸入曲面 |
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| 引用本文： | 李兴校,许建楼,黄广月.四元空间形式中具有常数Khler角的浸入曲面[J].数学的实践与认识,2006(9). |
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| 作者姓名： | 李兴校 许建楼 黄广月 |
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| 作者单位： | 河南师范大学数学与信息科学学院 河南新乡453007 |
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| 基金项目： | 河南省自然科学基金项目(004051900) |
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| 摘 要： | 对四元Khler流形中的浸入曲面引入了Khler角的概念,同时讨论Khler角是常数的情形.主要结果是:若x:M→N(c)是具有常数Q-截面曲率c的实四维四元空间形式N(c)中具有常数Khler角θ(sinθ≠0)的等距浸入曲面,则必有c=0.
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| 关 键 词： | 四元Khler流形 四元空间形式 Khler角 |
Immersed Surfaces in the Quaternionic Spaceforms with Constant Khler Angles |
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| LI Xing-xiao,XU Jian-lou,HUANG Guang-yue.Immersed Surfaces in the Quaternionic Spaceforms with Constant Khler Angles[J].Mathematics in Practice and Theory,2006(9). |
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| Authors: | LI Xing-xiao XU Jian-lou HUANG Guang-yue |
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| Abstract: | For an immersed surface in a quaternionic Kahler manifold,we introduce in this paper the concept of Kahler angle and consider the special case when the Kahler angle is constnat.Our main result is as follows: Let x∶M→N(c) be an isometrically immersed surface in the 4-dimensional quaternionic spaceform N(c) of constant Q-sectional curvature c.If the Kahler angle θ of x is constant and sinθ≠0,then c=0. |
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| Keywords: | quaternion Khler manifold quaternion spacefoirm Khler angle |
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