Kaehler流形上的Lagrange力学

讨论了Kaehler流形上的Lagrange力学，并给出Lagrange算子、Lagrange方程、作用泛函、Hamilton原理和Hamilton方程等复的数学形式．     

Bochner-Kaehler流形中反不变、全脐子流形

Kaehler流形上的Bochner曲率类似于黎曼流形上的共形曲率张量.如果Bochner曲率张量为零,那末Kaehler度量称为Bochner-Kaehler度量.具有Bochner-Kaehler度量的复流形称为Bochner-Kaehler流形. 以往对Bochner-Kaehler流形中的子流形的性质的研究主要是关于全实子流形的情况.例如: 定理A (Yano)在具有零Bochner曲率张量的Kaehler流形M~(2m)中,全脐、全     

强Kaehler-Finsler流形上（p，q）形式的中值Laplace算子

本文给出了强Kaehler-Finsler流形上中值Laplace算子的一些性质，如自伴性质，散度形式等。与Kaehler流形上利用逆变基本张量及其在Finsler流形上的变形作为密度函数定义流形上的逐点内积及整体内积不同，作者利用强Kaehler-Finsler流形上的逆变密切Kaehler度量作为密度函数定义了流形上的逐点内积和整体内积，并定义了强Kaehler-Finsler流形上的Hodge-Laplace算子，它可看作函数情形中值Laplace算子的推广。     

约化Lie群作用的齐性Kaehler流形分类

本文给出了实约化Lie群可递作用的齐性Kaehler流形的完全分类,列出了所有标准齐性Kaehler流形的分类表。     

殆Hermitian流形中的CR子流形

本文研究了殆Kaehler流形中CR子流形的上同调、CR子波形的分布D及其正交补D⊥的维数大于1的时候,近Kaehler流形中每个全脐非平凡的CR子流形一定是全测地的。最后得到：如果M^～是具有H^～B＞0的近Kaehler流形,那么M^～不允许有混合叶层非凡的CR子流形。     

数学年刊第20卷B辑第4期(1999)目次和提要

在超平面上波动方程的唯一延拓程晋MasahiroYAMAMOTO周奇讨论了波动方程的一类唯一延拓性质,证明了在超平面的一个开集内,波动方程的一个古典解为零时,那么这个解在此超平面的更大的集合上也为零．这个结果可以视为Robbimmo的结果的一个局部化变形,这方法包括了局部化Fourier－Gauss变换和Laplace方程在直线上的唯一延拓．在超Kaehler流形中tLagrangian子流形的模空间憎吉样研究了超Kaehler流形中紧致复Lagrangian子流形的形变和模空间．证明了模空ftoM是3peelalKaehler流形,即在Kaehler流形上存在实平坦无扰辛联络D满足drl—…     

Kaehler流形的Sasaki子流形

Kaehler流形是偶维微分流形,奇维微分流形中,与之媲美的是Sasaki流形。它是正规、切触度量流形。关于Sasaki流形,有判别定理(见[1]中P_(272)定理5.1) 定理A 殆切触度量流形M是Sasaki流形的充要条件为 (xφ)Y=g(X,Y)ξ-g(Y,ξ)X。 (1) 我们知道,Kaehler流形的Sasaki实超曲面是Sasaki流形,其维数也是奇数。Bejancu成功地对Kaehler流形的反全纯子流形引入Sasaki结构,定义了Sasaki反全纯子流形,其维     

局部对称Bochner-Kaehler流形的Kaehler子流形

本文推广了K.Ogiue总结的复空型中Kaehler子流形的Pinching条件,讨论了局部对称Bochner-Kaehler流形中Kaehler子流形的各类Pinching问题。     

局部对称Bochner-Kaehler流形及其Kaehler子流形

本文给出局部对称的Bochner-Kaehler流形的Riemann结构以及它的Kaehler子流形为全测地子流形的几个Pinching条件,推广了关于复射影空间的Kaehler子流形的相应定理。     

Bochner-Kaehler流形的Kaehler子流形

Bochner-Kaehler流形指Bochner曲率张量消失的Kaehler流形。常全纯截面曲率流形是它的特例。本文得到下面结果: 定理 设M是复n+p维Bochner-Kaehler流形M的复n(≥2)维紧Kaehler子流形。若M每点的所有截面曲率都大于M在该点的全纯截面曲率的上确界的1/8。则M是全测地的。 当M是复射空间CP~(n+p)时,这就是Ros A.和Verstraelen L.证明的K.Ogine猜测。郭孝英、沈一兵最近推广到局部对称的Bochner-Kaehler流行M,(科学通报1987年第2期)。     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with