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Explicit formula of holomorphic automorphism group on complex homogeneous bounded domains

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Science china Mathematics 2006年第10期49卷 1392-1404页

作者： XU Yichao,CHEN Minru & MA Songya Academy of Mathematics and Systems Science, Chinese Academy of sciences, Beijing 100080, china college of Mathematics and information sciences, henan university, kaifeng 475001, china Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing 100080 China college of Mathematics information sciences Henan University Kaifeng 475001 China

We known that the maximal connected holomorphic automorphism group Aut (D)(0) is a semi-direct product of the triangle group T(D) and the maximal connected isotropic subgroup Iso (D)(0) of a fixed point in the complex homogeneous bounded domain D and any complex homogeneous bounded domain is holomorphic isomorphic to a normal Siegel domain D(VN,F).In this paper, we give the explicit formula of any holomorphic automorphism in T(D(VN,F)) and Iso (D(VN, F))(0), where G(0) is the unit connected component of the Lie group G.

关键词： holomorphic automorphism group, homogeneous Siegel domain, normal Siegel domain, complex homogeneous bounded domain.

GLOBALIZATION AND RESPONSE OF LARGE STATED-OWNED ENTERPRISES IN AGRICULTURAL RELATED INDUS-TRIES: COMPANY CASE STUDIES FROM CENTRAL china

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Chinese Geographical Science 2001年第2期11卷 120-128页

作者： LI Xiao-jian (college of Environment and Planning, henan university, kaifeng 475001, P.R.china) college of Environment and Planning Henan University Kaifeng P. R. China

By using interview data from three large state-owned enterprises (SOEs) in agriculture related industries, this paper reveals that SOEs in inland area are much slow in response to globalization. Although they pursued some strategies to adjust themselves, they are far behind the position to utilize the opportunities generated by economic globalization. Most of them are still out of the networks of transnational corporations. The strategies they adopted are quite different from SOEs in the coastal area. They overlook the importance of information infrastructure, well-educated personnel, and collaboration with the competitive leaders in their industries. The lagging situation is related to isolated location, traditional culture, and slow progress in enterprise reform. International comparison shows that the case companies did follow the general patterns that globalization promotes extension of company′s networks of linkages but in a rather slow phase. The decision makers should encourage intra-regional linkages between SOEs, between SOEs and private, foreign owned companies, as well as inter-regional linkages among them. The latter appears particularly important given the enlarging gaps between coastal and inland areas.

关键词： state-owned enterprise enterprise reform regional development globalization

Hydrogen peroxide-induced changes in intracellular pH of guard cells precede stomatal closure

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Cell Research 2001年第1期11卷 37-43页

作者： ZHANG XIAO, FA CAI DONG, JUN FENG GAO, CHUN PENG SONG (Department of Biology, henan university, kaifeng 475001, china) (college of Life sciences, Northwest Sci-Tech university of Agriculture and Forestry, Yangling 712100, china) 2college of Life sciences Northwest Sci-Tech University of Agriculture and Forestry Yangling 712100 China 1Department of Biology Henan University Kaifeng 475001 China 2college of Life sciences Northwest Sci-Tech University of Agriculture and Forestry Yangling 712100 China 1Department of Biology Henan University Kaifeng 475001 China

Epidermal bioassay demonstrated that benzylamine, a membrane-permeable weak base, can mimick hydrogen peroxide (H2O2) to induce stomatal closure, and butyric acid, a membrane-permeable weak acid, can partly abolish the H2O2-induced stomatal closure. Confocal pH mapping with the probe 5-(and-6)- carboxy seminaphthorhodafluor- 1 - acetoxymethylester (SNARF-1-AM) revealed that H2O2 leads to rapid changes in cytoplasmic and vacuolar pH in guard cells of Viola faba L, i. e. alkalinization of cytoplasmic areas occur red in parallel with a decrease of the vacuolar pH, and that butyric acid pretreatment can abolish alkalinization of cytoplasmic areas and acidification of vacuolar areas of guard cells challenged with H2O2. These results imply that the alkalinization of cytoplasm via efflux of cytosol protons into the vacuole in guard cells challenged with H2O2 is important at an early stage in the signal cascade leading to stomatal closure.

关键词： H2O2 pH SNARF-1-AM confocal Vicia guard cell.

The Ternary Goldbach Problem with Primes in Arithmetic Progressions

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Acta Mathematica Sinica,English Series 2001年第4期17卷 679-696页

作者： Zhen Feng ZHANG Tian Ze WANG State Key Laboratory of information Security, Graduate School, Chinese Academy of sciences, Beijing 100039, P. R. china Depariment of Mathematics, henan university, kaifeng 475001, P. R. china Department of Mathematics, henan university, kaifeng 475001, P. R. china State Key Laboratory of information Security Graduate School Chinese Acacemy of Sciences Beijing 100039 P. R. China Department of Mathematics Henan University Kaifeng 475001 P. R. China

In this paper, we give an explicit numerical upper bound for the moduli of arithmetic progressions, in which the ternary Goldbach problem is solvable. Our result implies a quantitative upper bound for the Linnik const... 详细信息

关键词： Ternary Goldbach problem Prime Arithmetic progression Circle method

Totally geodesic submanifolds of maximal rank in symmetric spaces

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Science china Mathematics 2004年第2期47卷 264-271页

作者： ZHU Fuhai & LIANG KeSchool of mathematical sciences and LMAM, Peking university, Beijing 100871, china college of mathematical sciences and LPMC, Nankai university, Tianjin 300071, china 1.School of mathematical sciences and LMAM Peking University 100871 Beijing China 2.College of Mathematical Sciences and LPMC Nankai University 300071 Tianjin China

We gave a complete list of totally geodesic submanifolds of maximal rank in symmetric spaces of noncompact type. The compact cases can be obtained by the duality.

关键词： totally geodesic submanifold, Lie triple system, maximal rank.

A Note for one of Inequality

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Chinese Quarterly Journal of Mathematics 2004年第4期19卷 399-400页

作者： ZHANG Zhi-ping, WANG Jian-ping(college of Mathematics and information Science, henan university, kaifeng 475001, china college of Mathematics and information Science Henan University Kaifeng 475001China

In this paper, we find the largest contant C such that sin2 x + xtanx > 2x2 + cx5tan x 0

关键词： Maclaurin expansions Bernoulli’s numbers

Soil quality and sustainable land use in urban-rural marginal area: a case study of kaifeng

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Journal of Geographical sciences 2001年第3期11卷 356-365页

作者： QIN Ming-zhou, ZHAO Jie (college of Environment and Planning, henan university, kaifeng 475001, china) college of Enviroment and Planning Henan University

By using the basic theories of physical geography, land resources and ecology, this article analyzes the soil quality of the rural-urban marginal area in kaifeng. Computer techniques, based on soil samples analysis, are used to study soil quality changes in the kaifeng’s rural-urban marginal area. While focusing on nutrient circle key links of input and output in soil, relying on numerous practical survey data, this article reveals clearly the impact of land use change on soil quality.

关键词： urban-rural marginal area land use change soil quality soil nutriment balance

The Existence of Global Solution for a Class of Semilinear Equations on Heisenberg Group

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Chinese Quarterly Journal of Mathematics 2004年第4期19卷 426-435页

作者： ZHENG Zhu-jun, WANG Guo-an, LU Ke-ping,LUO Xue-bo(1. college of Mathematics and information Science, henan university, kaifeng 475001, china 2.Institute of Mathematics, henan university, kaifeng 475001, china 3. information Network Center, henan university, kaifeng 475001, china 4. Institute of Applied Mathematics, Northwestern Ploytechnical university, Xi'an 710072, china) college of Mathematics and information Science Henan University Kaifeng 475001china institute of Mathematics Henan University Kaifeng 475001china information Network Center Henan University Kaifeng 475001china college of Mathematics and information Science Henan University Kaifeng 475001china Institute of Applied Mathematics Northwestern Ploytechnical University Xi'an 710072 china

Based on the concepts of a generalized critical point and the corresponding generalized P.S. condition introduced by Duong Minh Duc [1], we have proved a new Z2 index theorem and get a result on multiplicity of generalized critical points. Using the result and a quite standard variational method, it is found that the equation-ΔHnu = |u|p-1u,x∈Hnhas infinite positive solutions. Our approach can also be applied to study more general nonlinear problems.

关键词： subelliptic operator Z2 index Heisenberg group generalized critical point

Optimizing 2D-metal contact in layered Tin-selenide via native oxide modulation

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Nano Research 2024年第4期17卷 3014-3020页

作者： Yue Zheng Qi You Zhentian Yin Jian Tang Ke Jiang Zihao Xie henan Li Cheng Han Yumeng Shi International Collaborative Laboratory of 2D Materials for Optoelectronics Science and Technology of Ministry of Education Institute of Microscale OptoelectronicsShenzhen UniversityShenzhen 518060China college of Electronics and information Engineering Shenzhen UniversityShenzhen 518060China

The discovery of two-dimensional(2D)semiconductor has opened up new avenues for the development of short-channel field-effect transistors(FETs)with desired electrical *** them,orthorhombic tin-selenide(SnSe)has garnered increasing attention due to its potential applications in a variety of electronic,optoelectronic,and thermoelectric ***,the realization of high-performance SnSe FETs with low contact resistance(Rc)remains a ***,we systematically investigate the contact of few-layer SnSe FETs through the modulation of native oxide on SnSe by using different *** is found that chromium(Cr)-contacted devices possess the best FET performance,such as electron mobility up to 606 cm^(2)/(V·s)at 78 K,current on/off ratio exceeding 1010,and saturation current of~550μA/μm,where a negligible Schottky barrier(SB)of~30 meV and a low contact resistance of~425Ωμm are achieved.X-ray photoelectron spectroscopy(XPS)and cross-sectional electron dispersive X-ray spectroscopy(EDX)results further reveal that the improved contact arises from the Cr-induced reduction of native oxide(SnOx)to Sn,which thins the tunneling barrier for efficient electron *** findings provide a deep insight into the 2D-metal contact of SnSe and pave the way for its applications in future nanoelectronics.

关键词： few-layer SnSe field-effect transistors(FETs) Cr contact native oxide contact resistance(Rc) Schottky barrier(SB)