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An Algorithm for Reducibility of 3-arrangements

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Communications in Mathematical Research 2011年第1期27卷 62-68页

作者： GAO RUI-MEI pei dong-he School of Mathematics and Statistics Northeast Normal University Changchun 130024

We consider a central hyperplane arrangement in a three-dimensional vector space. The definition of characteristic form to a hyperplane arrangement is given and we could make use of characteristic form to judge the reducibility of this arrangement. In addition, the relationship between the reducibility and freeness of a hyperplane arrangement is given

关键词： hyperplane arrangement reducibility freeness

Contact Finite Determinacy of Relative Map Germs

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Communications in Mathematical Research 2010年第1期26卷 1-6页

作者： CheN LIANG SUN WEI-ZHI pei dong-he Sehool of Mathematics and Statistics Northeast Normal University Changchun 130024 School of Science Changchun University of Science and Technology Changchun 130022

The strong contact finite determinacy of relative map germs is studied by means of classical singularity theory. We first give the definition of a strong relative contact equivalence （or KS,T equivalence） and then prove two theorems which can be used to distinguish the contact finite determinacy of relative map germs, that is, f is finite determined relative to KS,T if and only if there exists a positive integer k, such that M^5（n）ε（S;n）p ∩→ TKs,T（f）.

关键词： KS,T equivalent the tangent space of an orbit relative deformation finite determined relative to KS,T

The Supersolvable Order of Hyperplanes of an Arrangement

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Communications in Mathematical Research 2013年第3期29卷 231-238页

作者： Gao Rui-mei pei dong-he Du Xian-kun College of Science Changchun University of Science and Technology School of Mathematics and Statistics Northeast Normal University

This paper mainly gives a sufficient and necessary condition for an order of hyperplanes of a graphic arrangement being supersolvable. In addition, we give the relations between the set of supersolvable orders of hype... 详细信息

关键词： quadratic arrangement graphic arrangement supersolvable order of hyperplane quadratic order of hyperplane supersolvable order of vertices

The Hyperbolic Darboux Image and Rectifying Gaussian Surface of Nonlightlike Curve in Minkowski 3-Space

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Journal of Mathematical Research and Exposition 2008年第3期28卷 651-658页

作者： Che Ming Gang JIANG Yang pei dong he Department of Mathematics and Statistics Northeast Normal University Jilin 130024 China Department of Mathematics Jilin Normal University Jilin 136000 China Department of Mathematics Yangtze Normal University Chongqing 408000 China

In this paper,we give the classification of the singularities of hyperbolic Darboux image and rectifying Gaussian surface of nonlightlike curve in Minkowski *** establish the relationship between the singularities and... 详细信息

关键词： Minkowski 3-space nonlightlike curve hyperbolic Darboux image rectifying Gaussian surface singularity.