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ON THE VARIATIONS OF G_2

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Chinese Annals of Mathematics,Series B 2003年第3期24卷 387-394页

作者： LIU DONG LIN LEI department of Mathematics, east china normal university, shanghai 2.0062, china. department of Mathematics, east china normal university, shanghai 2.0062, china. department of Mathematics East China Normal University Shanghai 200062 China

In [1], Shen Guangyu constructed several classes of new simple Lie algebras of characteristic 2, which are called the variations of G2. In this paper, the authors investigate their derivation algebras. It is shown that G2 and its variations all possess unique nondegenerate associative forms. The authors also find some nonsingular derivations of ViG for i = 3,4, 5, 6, and thereby construct some left-symmetric structures on Vi G for i = 3,4,5,6. Some errors about the variations of sl(3, F) in [1] are corrected.

关键词： Variation Derivation Associative form Left-symmetric structure

ON ABELIAN AUTOMORPHISM GROUPS OF SURFACES OF GENERAL TYPE

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Chinese Annals of Mathematics,Series B 1996年第1期17卷 43-52页

作者： CAI JINXING(department of Mathematics, east china normal university, shanghai 2.0062, china.) E china normal UNIV DEPT MATHSHANGHAI 200062PEOPLES R CHINA

It is proved that for a complex minimal smooth projective surface S of general type, its abelian automorphism group is of order≤36k2s+24, provided x(os)≥8, where Ks is the canonical divisor of S, and X(Os) the Euler... 详细信息

关键词： Projective surface Automorphism group Canonical divisor

ON THE APPROXIMATELY SIMILARITY OF OPERATORS

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Chinese Annals of Mathematics,Series B 1998年第4期19卷 465-472页

作者： WEI GUOQIANG (department of Mathematics, east china normal university, shanghai 2.0062, china.) E china normal Univ Dept Math Shanghai 200062 Peoples R China

The author shows that a rank-preserving *-isorporphism between separable C*-algebras with unity is approximately equivalent to the identity representation. Some applications are made for approximately similarity of n-... 详细信息

关键词： C*-algebra Rank-preserving *-isomorphism Approximately equevalent,Approximately similar n-tuples of operators

CONSTRUCTION OF INDECOMPOSABLEDEFINITE HERMITIAN FORMS

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Chinese Annals of Mathematics,Series B 1994年第3期15卷 349-360页

作者： ZHU FUZU (department ofMathematics, east china normal university shanghai 2.0062.china) E china normal UNIV DEPT MAHTSHANGHAI 200062PEOPLES R CHINA

This Paper gives a method to construct indecomposable positive definite integral Hermitianforman imnginary quadratic field Q with gin discriminant and g。n *** is shown that for ally natural numbers n and a, there are n-ary Indecomposable positivedefinite intopal Herlllltian lattices over Q(resp. Q)with discriminant a, exceptfor four(resp. one) exceptions. In these exceptional cases there are no lattices with the desiredproperties.

关键词： Indecomposable lattice(form) Minimum of a lattice(form) Minimal、ctor Irreduclble vector.

A MONOTONE COMPACT IMPLICIT SCHEME FOR NONLINEAR REACTION-DIFFUSION EQUATIONS

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Journal of Computational Mathematics 2008年第2期26卷 123-148页

作者： Yuanming Wang department of Mathematics,east china normal university,shanghai 200241,china Division of Computational Science,E-Institute of shanghai Universities,shanghai normal Benyu Guo department of Mathematics,shanghai normal university,shanghai 200234,china Division of Computational Science,E-Institute of shanghai Universities,shanghai,china department of Mathematics East China Normal University Shanghai 200241 China Division of Computational Science E-Institute of Shanghai Universities Shanghai Normal University Shanghai 200234 China department of Mathematics Shanghai Normal University Shanghai 200234 China Division of Computational Science E-Institute of Shanghai Universities Shanghai China

A monotone compact implicit finite difference scheme with fourth-order accuracy in space and second-order in time is proposed for solving nonlinear reaction-diffusion equations. An accelerated monotone iterative method for the resulting discrete problem is presented. The sequence of iteration converges monotonically to the unique solution of the discrete problem, and the convergence rate is either quadratic or nearly quadratic, depending on the property of the nonlinear reaction. The numerical results illustrate the high accuracy of the proposed scheme and the rapid convergence rate *** iteration.

关键词： Nonlinear reaction-diffusion equation Monotone compact implicit scheme High accuracy Monotone iteration Rapid convergence rate.

HOMOCLINIC BIFURCATION WITH CODIMENSION 3

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Chinese Annals of Mathematics,Series B 1994年第2期15卷 205-216页

作者： ZHU DEMING(department of Matehematics,east china normal university, shanghai 2.0062, china) E china normal UNIV DEPT MATHSHANGHAI 200062PEOPLES R CHINA

First it is proved that both the integral of the divergence and the Melnikov function are invariants of the C2 transformation. Then, the problem of the planar homoclinic bifurcation with codimension 3 is considered. It is proved that, in a small neighborhood of the origin in the parameter space of a Cr (r≥5) system, there exist exactly two Cr-1 semi- stable- limit- cycle branching surfaces, and their common boundary is a unique Cr-1 three-multiple- limit-cycle branching curve. The bifurcation pictures and the asymptotic expansions of the bifurcation functions are given. The stability criterion for the homoclinic loop is also obtained when the integral of the divergence is zero. The proof of the auxiliary theorems will be presented in [16].

关键词： Homoclinic bifurcation Codimension Semi-stable-limit-cycle branch Three- multiple-limit- cycle branch.

Decomposition of integrable holomorphic quadratic differential on Riemann surface of infinite type

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Science china Mathematics 2010年第8期53卷 2039-2044页

作者： CHENG Tao department of Mathematics,east china normal university,shanghai 200241,china 1. department of Mathematics East China Normal University Shanghai 200241 China

In this paper,decomposition of the integrable holomorphic quadratic differential on Riemann surface of infinite type is ***,Schleicher and Shishikura gave a thick-thin decomposition on Riemann surface of finite type with an integrable holomorphic quadratic differential and they thought their result might be generalized to arbitrary hyperbolic Riemann surface of infinite *** confirm what they thought is right and give a proposition(Proposition 2.2) of its own interest.

关键词： holomorphic quadratic differential decomposition collar

A NOTE ON THE RELATIVE CANONICAL IMAGE OF A NON-HYPERELLIPTIC FIBRATION OF GENUS

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Chinese Annals of Mathematics,Series B 1994年第2期15卷 157-164页

作者： CHEN ZHIJIE(department of Matehematics,east normal university, shanghai 00062, china) E china normal UNIV DEPT MATHSHANGHAI 200062PEOPLES R CHINA

This paper investigates the relative 1-canonical images of non-hyperelliptic fibrations of genus 4. It is proved that if a fibre of the relative 1-canonical image ∑ is not a complete intersection in 3 , then the var... 详细信息

关键词： Genus Non-hyperelliptic fibration Canonical image Algebraic variety.

Impact on the Yangtze (Changjiang) Estuary from its drainage basin: Sediment load and discharge

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Chinese Science Bulletin 2001年第S1期46卷 73-80页

作者： CHEN Zhongyuan & ZHAO YiwenState Key Laboratory for Estuarine and Coastal Research, east china normal university, shanghai 2.0062, china department of Geography, east china normal university, shanghai 2.0062, china 1. State Key Laboratory for Estuarine and Coastal Research East China Normal University 200062 Shanghai China 2. department of Geography East China Normal University 200062 Shanghai China

This paper focuses on the sediment transport and freshwater discharging from upper Yangtze drainage basin downstream, primarily on the basis of multiyear hy-drological data collected from three major hydrological gauge stations (Yichang, Hankou and Datong). Data indicate highest sediment load in Yichang (5.6×108 t/a), lowest in Hankou (5.1×108t) and second highest in Datong (5.4×108 t). This fluctuations are identical with what has been observed from the annual flood season. About one thirds of the sediment load are trapped in the middle Yangtze River course, where meandering river pattern prevails; rest of them are directly transported to the river mouth area via lower Yangtze River channel, where the river is typically confined by the exposed base rock and almost none is being trapped, instead, minor being drained to the mainstream from the local tributaries. To recognize this sediment delivery and river flow media is vital, because it can highlight morphologic/topographic correlation between the

关键词： sediment load discharge estuarine impact the Yangtze River.