共查询到19条相似文献，搜索用时 15 毫秒
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进一步讨论了第四类Cartan-Hartogs域上Khler-Einstein度量的显表达式问题。运用该度量的显表达式以及Bergman度量的显表达式与连续函数的性质,得到了第四类Cartan-Hartogs域上Khler-Einstein度量和Bergman度量等价的简单证明。 相似文献
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进一步讨论了第四类Cartan-Hartogs域上K(a)hler-Einstein度量的显表达式问题.运用该度量的显表达式以及Bergman度量的显表达式与连续函数的性质,得到了第四类Cartan-Hartogs域上K(a)hler-Einstein度量和Bergman度量等价的简单证明. 相似文献
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给出了G单位区间[0,1]的定义并在其上引入了元素间的可分度的概念,讨论了其基本性质,并在此定义的基础上确定了一个度量ρ,从而（[0,1],ρ）成为一个度量空间（文中称“G单位逻辑度量空间”）,并对G单位逻辑度量空间的性质及其结构进行了详尽的讨论,并得到一些好的结果.最后,在MV单位区间上引入了类似ρ的一个度量ρ,′并证明了（[0,1],ρ′）是通常度量空间。 相似文献
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给出了维数不大于5的幂零李代数L的F(L)结构,证明了在特征不为2的域中维数最低的幂零二次李代数的维数等于5.在同构的意义下仅有一类5维幂零二次李代数,其度量维数等于4.最后对5维二次李代数进行2-扩张,得到了唯一的一类度量3-李代数,并且证明了此度量3一李代数的度量维数等于8. 相似文献
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《绵阳师范学院学报》2020,(5):5-10
研究了在(q_1,q_2)-拟度量空间中,满足几类新的压缩条件的集值映射存在FG-耦合不动点.在完备的(q_1,q_2)-拟度量空间中,利用(q_1,q_2)-拟度量和Hausdorff度量的性质,讨论了两类新的集值压缩映射和一类新的平方型集值压缩映射的FG-耦合不动点的存在性. 相似文献
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以距离概念的形成与发展为研究对象,分析与之相关的数学概念--绝对值、模、范数、内积等概念间多层次的逻辑结构关系,为探讨用现代数学的思想观点去把握中学数学中某些概念乃至理论的本质和关键提供一个范例. 相似文献
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通过十多年来在不同课程中讲解距离空间的理论，总结出要讲解好“距离”、“距离空间”的概念应注意的几个方面的问题． 相似文献
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An effective metric is developed on the background of light field in the plasma.Consistency with effective metric and Gordon‘s metric is under the ideal fluid approximation.The validity of effective metric is verified in the limit of non-relativistic limit.Finally the effective metric for plasma electrons is obtained. 相似文献
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罗李平 《衡阳师范学院学报》2001,22(6):107-110
利用泛函分析中内积空间、度量空间的观点处理某些初等数学问题，以期说明如何把高等数学与初等数学融合起来，从而对问题的实质看得更清楚、简单。 相似文献
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YIN Wei-ping 《商丘师范学院学报》2006,22(5):1-13
The first part of this paper we talk about the story of how to introduce the Hua domains and summarize the main results on Hua domains.The second part,the explicit complete Einstein-K(a)hler metric on the special type of Hua domains is given and the sharp estimate of holomorphic sectional curvature under this metric is also obtained.In the meantime we also prove that the complete Einstein-K(a)hler metric is equivalent to the Bergman metric on the special type of Hua domain. 相似文献
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YU Yao-yong YOU Ying 《浙江大学学报(A卷英文版)》2006,7(6):1068-1076
INTRODUCTION One century ago, Hilbert announced his famous 23 problems. The Hilbert’s Fourth Problem is to characterize the (not-necessarily-reversible) distance functions on an open subset in ún such that straight lines are shortest paths. Distance functions induced by a Finsler metric are regarded as smooth ones. Thus Hilbert’s Fourth Problem in the smooth case is to characterize Finsler metric on an open subset in ún whose geodesics are straight lines. Finsler metric on an ope… 相似文献
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The interactions of laser field with plasma are studied by using the analog model of gravity. The interactions of laser field with plasma are regarded as an equivalent effective geometry. An effective metric for a plasma electron is developed. Validity of the metric is confirmed in the limit of non-relativity. The three-dimensional equation of motion for a plasma electron is derived from the general covariant equation of motion. The ponderomotive force and the Abraham＇s force are directly obtained from the three-dimensional equation. 相似文献