On holonomy of Weyl connections in Lorentzian signature

Holonomy algebras of Weyl connections in Lorentzian signature are classified. In particular, examples of Weyl connections with all possible holonomy algebras are constructed.     

Lax Connection of Strings in γ-Deformed Backgrounds

In this paper we consider classical strings propagating in γ-deformed AdS3 × S^3 backgrounds generated by TsT transformation on the AdS3 sector, which is described as the group manifold SL（2, R）, then we prove that the U（1） currents of strings with the twisted boundary conditions are equal to those in γ-deformed backgrounds. Using TsT transformation, we can derive the local Lax connection and the monodromy matrix in γ-deformed backgrounds with the spectral parameter, which ensures the classical integrability of the string theories.     

抑制大型折叠腔结构光斑抖动技术的研究

针对光腔镜盒的真空变形和振动对精密光学系统的影响,分析了传统刚性连接的光学调整架平台以及球关节连接结构在减振降噪设计的不足,从支撑和柔性密封连接的角度,设计了隔离振动和光腔镜盒真空变形的精密光学调整架平台,对应用于大型折叠腔的双层光学调整架平台的动力学特性进行ANSYS仿真,并完成了光斑抖动验证实验。结果显示框架式双层光学调整架平台的第一阶弹性体频率可达到126.5,172.3 Hz,很好地满足折叠腔光学调整架平台的使用要求;应用在大型折叠腔,抽真空试验前后He-Ne导引光输出光斑位置无变化,形状变化很小,出光过程中输出抖动角均方根值为3.73,隔离振动传递效果明显。     

Algebraic transition matrices in the Conley index theory

We introduce the concept of an algebraic transition matrix. These are degree zero isomorphisms which are upper triangular with respect to a partial order. It is shown that all connection matrices of a Morse decomposition for which the partial order is a series-parallel admissible order are related via a conjugation with one of these transition matrices. This result is then restated in the form of an existence theorem for global bifurcations. Simple examples of how these results can be applied are also presented.

     

Degenerate Hermitian Manifolds

The geometry of almost complex manifolds with degenerate indefinite Hermitian metrics is studied.     

焊接接头热影响区表面裂纹疲劳扩展速率

给出了数据处理的方法，通过对试验数据的分析，给出了裂纹扩展速率与ΔK的关系，为油田的安全生产提供了依据。     

Correspondences of Coclosed Submodules

We establish an order-preserving bijective correspondence between the sets of coclosed elements of some bounded lattices related by suitable Galois connections. As an application, we deduce that if M is a finitely generated quasi-projective left R-module with S = End _R (M) and N is an M-generated left R-module, then there exists an order-preserving bijective correspondence between the sets of coclosed left R-submodules of N and coclosed left S-submodules of Hom _R (M, N).