杂志简介:《数学学报》杂志经新闻出版总署批准,自1936年创刊,国内刊号为11-2038/O1,是一本综合性较强的科学期刊。该刊是一份双月刊,致力于发表科学领域的高质量原创研究成果、综述及快报。主要栏目:研究报告、文献综述、简报、专题研究
作者:Shizuo; KAJI; Stephen; THERIAULT 刊期:2019年第04期
If G is a compact connected Lie group and T is a maximal torus, we give a wedge decomposition of ΣG/T by identifying families of idempotents in cohomology. This is used to give new information on the self-maps of G/T.
作者:Tao; ZHANG; Chun; Qin; ZHOU 刊期:2019年第04期
In this paper, we will analyze the blow-up behaviors for solutions to the Laplacian equation with exponential Neumann boundary condition. In particular, the boundary value is with a kind of singular data. We show a Brezis–Merle type concentration-compactness theorem, calculate the blow up value at the blow-up point,...
作者:Javad; BAGHERIAN 刊期:2019年第04期
An irreducible character χ of an association scheme is called nonlinear if the multiplicity of χ is greater than 1. The main result of this paper gives a characterization of commutative association schemes with at most two nonlinear irreducible characters. This yields a characterization of finite groups with at most ...
作者:Jian; Min; CHEN; Ya; Nan; LIN; Shi; Quan; RUAN 刊期:2019年第04期
The present paper focuses on the study of the stable category of vector bundles for the weighted projective lines of weight triple. We find some important triangles in this category and use them to construct tilting objects with tubular endomorphism algebras for the case of genus one via cluster tilting theory.
作者:Guang; Gui; DING; Jian; Ze; LI 刊期:2019年第04期
In this paper, based on the smooth point of the unit ball and its support linear functional,we show two equivalent formulations of the isometric extension problem between the unit spheres of strictly convex two-dimensional normed spaces. We prove that these equivalent formulations have a positive answer in a special ...
作者:Yan; Bin; LIN; Ying; LU; Chang; Ping; WANG 刊期:2019年第04期
In this paper, we first set up an alternative fundamental theory of Mobius geometry for any umbilic-free spacelike hypersurfaces in four dimensional Lorentzian space form, and prove the hypersurfaces can be determined completely by a system consisting of a function W and a tangent frame {Ei}. Then we give a complete ...
作者:Dou; Dou; LI; Mei; ZHANG 刊期:2019年第04期
In this paper, we investigate the asymptotic behaviors of the critical branching process with immigration {Zn, n ≥ 0}. First we get some estimation for the probability generating function of Zn. Based on it, we get a large deviation for Zn+1/Zn. Lower and upper deviations for Zn are also studied. As a by-product, an...
作者:Kai; Hua; BAO; Ai; Hui; SUN; Chao; DENG 刊期:2019年第04期
In this paper, we compute lower dimensional volumes Vol4(1,1) and Vol6(2,2) about Witten deformation for 4, 6-dimensional spin manifolds with boundary respectively, and get assosiated Kastler–Kalau–Walze type theorems. We also give theoritic explaination of the gravitational action for 4, 6 dimensional manifolds wi...
作者:Wei; Juan; ZHANG; Jian; Guo; QIAN; Fu; Ji; ZHANG 刊期:2019年第04期
Cycle reversal had been shown as a powerful method to deal with the relation among orientations of a graph since it preserves the out-degree of each vertex and the connectivity of the orientations. A facial cycle reversal on an orientation of a plane graph is an operation that reverses all the directions of the edges...
作者:Wei; DONG; Rui; LI; Bao; Gang; XU 刊期:2019年第04期
A strong edge coloring of a graph is a proper edge coloring where the edges at distance at most 2 receive distinct colors. The strong chromatic index χs^′(G) of a graph G is the minimum number of colors used in a strong edge coloring of G. In an ordering Q of the vertices of G, the back degree of a vertex x of G in ...