四元数射影空间中具有常平均曲率的全实子流形

采用活动标架法,该文研究了四元数射影空间中具有常平均曲率的全实子流形,并且得到了一些pinching定理.这些定理推广和改进了四元数射影空间中全实极小子流形的相关结论.     

四元数射影空间的generic子流形

利用积分公式研究了四元数射影空间的四元数CR子流形的特殊情形——generic子流形，讨论了它在特殊条件下的积分等式和性质．     

复射影空间和四元数射影空间中一类平均曲率向量平行的子流形

本文利用Riemann submersion研究了复射影空间和四元数射影空间中一类平均曲率向量平行的子流形,得到了两个关于数量曲率和平均曲率的Pinching定理。     

紧致秩1对称空间中全脐子流形的一个特征

利用Ｒｉｅｍａｎｎ 浸没的方法，给出了复射影空间和四元数射影空间中紧致的具有平行平均曲率向量的子流形为全脐子流的Ｐｉｎｃｈｉｎｇ 常数－     

紧致秩1对称空间子流形的Simons型Pinching常数

利用黎曼浸没的方法 ,把丘成桐等人关于球面子流形的Simons型Pinching定理拓广到了复射影空间和四元数射影空间的子流形上     

四元数射影空间中全实伪脐子流形的注记

该文研究了四元数射影空间中的紧致全实伪脐子流形,计算了子流形的第二基本形式模长平方的Laplacian,得到一个关于Ricci曲率的Pinching定理和子流形上的一个Simons型积分不等式。     

关于四元射影空间中的全实伪脐子流形

研究了四元射影空间QPnc中全实伪脐子流形问题,利用活动标架法获得了这类子流形推广的Simons型积分不等式及成为全测地子流形的刚性定理.     

四元数射影空间中全实2-调和子流形的一些注记

利用活动标架法和广义极值原理研究四元数射影空间中的全实2-调和子流形,得到了这类子流形在伪脐条件下是极小的,并给出关于第二基本形式模长平方的刚性定理和完备全实2-调和子流形是极小的充分条件.     

四元数射影空间中的全实2 调和伪脐子流形

利用活动标架法研究四元数射影空间中的全实2 调和伪脐子流形, 得到了这类子流形成为极小子流形的刚性定理, 推广了Simons型积分不等式.     

四元数射影空间中常数量曲率的完备全实伪脐子流形

利用广义极大值原理和自伴随微分算子研究四元数射影空间中常数量曲率完备全实伪脐子流形的Pinching问题, 得到了两个该流形成为全测地或全脐的刚性定理.     

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     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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