复射影空间中法丛平坦的全实伪脐子流形

该文证明了复射影空间中两种类型的法丛平坦全实伪脐子流形必是极小的,并在紧致的情形确定了它们的具体形状．此外,还说明了复射影空间中的全实全脐子流形一定不是法丛平坦的.     

金融发展对经济增长影响的实证分析

本文将金融发展作为一个独立解释变量引入,构造经济增长的面板数据模型,运用面板数据以1994年为分界点分两阶段实证分析了全国及东、中、西部地区1985~2003年金融发展对经济增长的影响,以及东、中、西部地区影响的差异性,模型较好地拟合了数据。实证分析表明,各地区之间金融发展的不平衡性可以部分解释其经济增长的差异性。     

收敛幂级数环的一个性质

本文证明了收敛幂级数环的张量积不是Ｎｏｅｔｈｅｒ环，并提出一个问题。     

Phase Distribution Measurement of Light Wave by Adaptive Control of Pupil Function with Local Algorithm

In developing a new method to measure the phase distribution of a light wave utilizing the adaptive control of the pupil function with a liquid crystal panel, the optimization procedure for the adaptive control is shown to improve when a local algorithm is adopted. The feasibility of the proposed system is confirmed by computer simulation as well as by some basic experiments.     

Arithmetic cusp shapes are dense

In this article we verify an orbifold version of a conjecture of Nimershiem from 1998. Namely, for every flat n-manifold M, we show that the set of similarity classes of flat metrics on M which occur as a cusp cross-section of a hyperbolic (n + 1)-orbifold is dense in the space of similarity classes of flat metrics on M. The set used for density is precisely the set of those classes which arise in arithmetic orbifolds.      

The moduli space of flat SU (2) and SO (3) connections over surfaces

All the connected components of the moduli space of flat connections on SU (2) and SO (3) (trivial and non-trivial) bundles over closed oriented surfaces are determined. The symplectic structure and volumes of the non-maximal strata of the moduli space are also determined.     

Left invariant special Kähler structures

We construct left invariant special Kähler structures on the cotangent bundle of a flat pseudo-Riemannian Lie group. We introduce the twisted cartesian product of two special Kähler Lie algebras according to two linear representations by infinitesimal Kähler transformations. We also exhibit a double extension process of a special Kähler Lie algebra which allows us to get all simply connected special Kähler Lie groups with bi-invariant symplectic connections. All Lie groups constructed by performing this double extension process can be identified with a subgroup of symplectic (or Kähler) affine transformations of its Lie algebra containing a nontrivial 1-parameter subgroup formed by central translations. We show a characterization of left invariant flat special Kähler structures using étale Kähler affine representations, exhibit some immediate consequences of the constructions mentioned above, and give several non-trivial examples.     

Ⅱ-Ⅵ族化合物薄膜电致发光

电致发光薄膜是平板显示器的重要材料之一,我们从研究ZnS:Mn,Cu直流电致发光薄膜的大面积稳定发光开始,首次将稀土离子引进直流电致发光薄膜,实现了各色的直流电致发光,并研究其激发机理、过热电子的能量分布、稀土离子的碰撞截面和稀土离子发光中心在晶格中的位置等。在国内首先研制成功ZnS:Mn交流电致发光薄膜计算机终端显示器,并扩大面积到640×480像素(对角线10英寸)。为了实现彩色化显示,研制出稀土离子掺杂的各色交流电致发光薄膜。研究不同稀土离子在薄膜中的浓度猝灭,以便提高薄膜的发光亮度。在致力于实现彩色的过程中,首要的任务是提高蓝色电致发光薄膜的亮度和探索新的蓝色电致发光薄膜材料:从ZnS:TmF₃到CaS:TmF₃,发光亮度有了很大的提高;使SrS:Ce薄膜蓝色电致发光的亮度超过1000cd/m²;同时探索纳米Si和非晶Si/SiO₂超晶格结构的蓝色电致发光。成功地实现了ZnS:Mn/SrS:Ce白色电致发光和SrS:HoF₃三基色线谱发射的白色电致发光,发光亮度也超过1000cd/m²。     

微型热驱动热声热机热端换热器的优化设计

该文基于热声环境,采用厘米级扁管和deltaE数值计算对微型热声换热器进行了优化设计。     

η-Invariant and Flat Vector Bundles

Abstract We present an alternate definition of the mod Z component of the Atiyah-Patodi-Singer η invariant associated to (not necessary unitary) flat vector bundles, which identifies explicitly its real and imaginary parts. This is done by combining a deformation of flat connections introduced in a previous paper with the analytic continuation procedure appearing in the original article of Atiyah, Patodi and Singer. * Project supported by the Cheung-Kong Scholarship of the Ministry of Education of China and the 973 Project of the Ministry of Science and Technology of China. (Dedicated to the memory of Shiing-Shen Chern)