Grassmann流形G(2,8)和R8上的复结构

利用Clifford代数Cl8和矩阵代数R(16)之间的同构,证明了Grassmann流形G(2,8)与欧氏空间R8上全体保定向复结构是同胚的.进一步,将此同胚限制于纤维丛π:G(2,8)→S6的每一纤维,给出S6的切空间上保定向的复结构;限制于纤维丛τ:CP3→S4的纤维,又可以给出S4的切空间上的复结构.     

低维复射影空间中的全实极小子流形

研究了复射影空间CP^6中6维全实极小子流形，利用6维紧致黎曼流形的Euler数及Green定理，计算曲率张量R和Ricci张量Rij的模的平方，得到了数量曲率的拼挤常数，讨论了其局部结构．     

S3到CP4中的等变极小浸入

研究复射影空间CP4中常曲率的等变极小3维球面S3=SU（2）,结果表明这种浸入若不是弱Lagrangian浸入,则其截面曲率C≤1。     

关于抽象Lp空间的单位球面之间的等距的延拓

本文证明了从实抽象Ｌｐ（１＜ｐ＜∞，ｐ≠２）空间的单位球面到另一个实抽象Ｌｐ（１＜ｐ＜∞，ｐ≠２）空间的单位球面上的等距是线性算子的限制，而从一个复抽象Ｌｐ（１＜ｐ＜∞，ｐ≠２）空间的单位球面到另一个复抽象Ｌｐ（１＜ｐ＜∞，ｐ≠２）空间的单位球面上的等距算子是可加算子的限制。     

关于复射影空间上两点间的距离公式?

基于单位球面在Jion结构下两点间的距离公式,给出了赋有经典度量的复射影空间上两点间的类似距离公式.     

S~3到CP~4中的常曲率等变极小浸入

研究常曲率的3维球面S3到复射影空间CP4中的等变极小浸入,研究结果表明这种浸入只能是弱Lagrangian浸入,从而是全测地的。     

S3到CP4中的常曲率等变极小浸入

研究常曲率的3维球面 S3到复射影空间 CP4中的等变极小浸入，研究结果表明这种浸入只能是弱Lagrangian浸入，从而是全测地的。     

关于二阶超曲面的配极

本文是关于n维复射影空间及n维扩大复仿射空间中几个问题的探讨。§1.n 维复射影空间 1.1 n维复射影空间在二维复射影平面上,点与三个不同时为0的成比例的有序复数ρx_1:ρx_2:ρx_3(ρ≠0)一一对应,亦即:如果我们把三维复矢量空间的零矢0去掉,并且把该空间的同一组共线的矢视为同一元,那末这样的复矢量空间的元与二维复射影平面的点一一对应。同样,把四维     

二阶超曲面在n维射影空间P_n的射影分类

本文推导了二阶超曲面在 n 维射影复空间和实空间 P_n 的射影分类,并在直观的2维射影复平面和实平面 P_2以及3维射影复空间和实空间 P_3来验证这个一般射影分类方法的正确性.     

Gauss-Bonnet公式与cos√x的几何凸性

利用Gauss—Bonnet公式说明了几种常曲率空间中测地三角形的边角关系．证明了f（u）=cos√u的几何凸性，并利用cos√x的几何凸性证明了球面空间S^2和双曲空间H^2中测地三角形中的边角关系，与欧氏空间中E^3的勾股定理相比，从形式和逻辑上都显示出完备性，彰显了分析与几何的内在和谐一致性．     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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