pluriharmonic
- pluriharmonic的基本解释
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多重调和的
- 相关中文词汇
- 多重调和的
- 拼写相近词组、短语
- pluriharmonic function
- 更多网络例句与pluriharmonic相关的网络例句 [注:此内容来源于网络,仅供参考]
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In this project, we have mainly researched the complex-anlyticity,constancy and stability of pluriharmonic maps to complex grassmannian manifolds;the characterization and isotropicity of pluriharmonic maps with finite uniton number;the regularity, singularty and Liouville theorem of harmonic maps.
本课题着重研究到复Grassmann流形多重调和映照的复分析、常值性及稳定性之间的关系;具有有限uniton数的多重调和映照的特征与迷向性;调和映照的正则性、奇异性及Liouville定理。
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We gen-eralize the holomorphic pointwise multiplier to pluriharmonic and〓-harmonic pointwise multiplier on the Bergman space.Somecharacterizations of such pointwise multipliers are gotten.
解析点乘子推广到多调和或〓调和的情形我们是在Bergman空间上做的,得出了关于Bergman空间上点乘子的一些性质。
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Keywords: harmonic map;pluriharmonic maps; submanifold
中文关键词:调和映照;多重调和映照;子流形
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In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.
本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1,1)到经典实半单Lie群的调和映照的具体构造,并给出其显式表示;其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面,将这些映照所满足的几何条件转化为可积系统,然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造;最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。
- 更多网络解释与pluriharmonic相关的网络解释 [注:此内容来源于网络,仅供参考]
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pluriharmonic:多重低的
plurigenus 多狂 | pluriharmonic 多重低的 | pluriharmonic function 多重低函数
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pluriharmonic function:多重低函数
pluriharmonic 多重低的 | pluriharmonic function 多重低函数 | plurisubharmonic 多重次低的
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pluriharmonic function:多重调和函数
多重打靶法|multiple shooting method | 多重调和函数|pluriharmonic function | 多重傅里叶级数|multiple Fourier series