SO(n)规范势的可分解理论

使用几何代数方法,研究了n维紧致黎曼流形上SO(n)规范势(自旋联络)的一般分解理论,建立了SO(n)规范场用球丛上单位矢量场n分解的一般表达式.由此,分别得到了U(1)规范场和U(2)规范场用单位矢量场n分解的一般形式.     

部分子末态的色分离联接对e+e－反应中强子产额及其动量谱的影响

用JETSET事例产生器对e⁺e^－→qq+ng→hadrons反应中,末态部分子(qq+ng)以色分离的联接方式进行强子化时,各种强子产额及π⁺,K^±,p/p的动量谱进行了计算;与传统的色中性流联接方式强子化结果进行比较.结果表明:由T权重确定的色分离单态和色中性流这两种完全不同的色联接方式强子化得到的强子产额及π⁺,K^±,p/p的动量谱,与实验符合的程度相同,有些更好.     

锌基合金焊接区摩擦磨损性能研究

在ＭＭ－２００型摩擦磨损试验机上分别考察了锌基合金熔化焊（ＴＩＧ焊、气焊）焊接区熔敷金属及ＨＡＺ组织模拟试样的摩擦学性能,并用扫描电子微镜对其磨损表面形貌进行了观察和分析。结果表明：与母材相比,锌基合金熔化焊（ＴＩＧ焊、气焊）焊接区的耐磨性均有所提高,随负荷增大,磨损呈上升趋势。在２种不同熔化焊方法中,ＴＩＧ焊焊接区熔敷金属及ＨＡＺ组织模拟试样的耐磨性比气焊对应区域的耐磨性高。     

Lightlike Hypersurfaces on Manifolds Endowed with a Conformal Structure of Lorentzian Signature

The authors study the geometry of lightlike hypersurfaces on manifolds (M, c) endowed with a pseudoconformal structure c = CO(n – 1, 1) of Lorentzian signature. Such hypersurfaces are of interest in general relativity since they can be models of different types of physical horizons. On a lightlike hypersurface, the authors consider the fibration of isotropic geodesics and investigate their singular points and singular submanifolds. They construct a conformally invariant normalization of a lightlike hypersurface intrinsically connected with its geometry and investigate affine connections induced by this normalization. The authors also consider special classes of lightlike hypersurfaces. In particular, they investigate lightlike hypersurfaces for which the elements of the constructed normalization are integrable.     

Fuzzy Galois Connections

The concept of Galois connection between power sets is generalized from the point of view of fuzzy logic. Studied is the case where the structure of truth values forms a complete residuated lattice. It is proved that fuzzy Galois connections are in one-to-one correspondence with binary fuzzy relations. A representation of fuzzy Galois connections by (classical) Galois connections is provided.     

空间形式中具平行非退化极小截面的曲面

利用文「１」的方法及Ｓｉｍｏｎｓ型公式对空间形式中具有平行非退化极小截面曲面进行了研究,从而将文「１」中一系列定理推广到２＋Ｐ维空间形式中。     

Odd-dimensional counterparts of abelian complex and hypercomplex structures

We introduce the notion of abelian almost contact structures on an odd-dimensional real Lie algebra $\mathfrak{g}$. We investigate correspondences with even-dimensional Lie algebras endowed with an abelian complex structure, and with Kähler Lie algebras when $\mathfrak{g}$ carries a compatible inner product. The classification of 5-dimensional Sasakian Lie algebras with abelian structure is obtained. Later, we introduce abelian almost 3-contact structures on real Lie algebras of dimension $4n+3$, obtaining the classification of these Lie algebras in dimension 7. Finally, we deal with the geometry of a Lie group G endowed with a left invariant abelian almost 3-contact metric structure. We determine conditions for G to admit a canonical metric connection with skew torsion, which plays the role of the Bismut connection for hyperKähler with torsion (HKT) structures arising from abelian hypercomplex structures. We provide examples and discuss the parallelism of the torsion of the canonical connection.