MANIFOLD

作品数:522被引量:677H指数:10
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相关领域:理学更多>>
相关作者:刘泉声刘学伟蒋占四徐增敏赵汝文更多>>
相关机构:北京师范大学江苏德是和通信科技有限公司西华大学南开大学更多>>
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相关基金:国家自然科学基金中国博士后科学基金国家重点基础研究发展计划国家教育部博士点基金更多>>
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CO_(2)化学酶转化的突破:实现立体化学完全可控的可持续人工合成己糖
《Science Bulletin》2023年第20期2291-2292,共2页Manfred T.Reetz 
Support by the Max-Planck-Society。
The capture and transformation of the greenhouse gas CO_(2) into high-value products is currently of paramount importance worldwide,with many different approaches being conceived and tested[1-6].The transformation CO_...
关键词:立体化学 MANIFOLD SUGAR 
Yamabe invariant for complete manifold with nonpositive scalar curvature
《Chinese Science Bulletin》1998年第21期1790-1793,共0页CHENG Xu I.M.P.A., Estrada Dona Castorina 110, Jardim Botanico, 22460 Rio de Janeiro, Brazil 
ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .196 0 10 2 3)
A sufficient condition for Yamabe invariants to be non-positive and its applications are obtained.
关键词:RIEMANNIAN MANIFOLD CONFORMAL deformation SCALAR CURVATURE 
Coupling, spectral gap and related topics (Ⅱ)被引量:2
《Chinese Science Bulletin》1997年第17期1409-1416,共8页CHEN Muf aDepartment of Mathematics, Beijing Normal University, Beijing 100875, China 
THIS is the second one of a series of three reviews. The ideas introduced in the last review are used to study the estimate of spectral gap and four classes of typical eigenvalue problems on manifolds. The comparison ...
关键词:DIFFUSIONS MANIFOLD MARKOV CHAINS spectral gap couplings. 
Coupling, spectral gap and related topics (Ⅲ)被引量:2
《Chinese Science Bulletin》1997年第18期1497-1505,共9页CHEN MufaDepartment of Mathematics, Beijing Normal University, Beijing 100875, China 
THIS is the last one of a series of three papers. Here, we discuss six topics related to the spectral gap: the gradient estimate, the heat kernel and Harnack inequality, the logarithmic Sobolev inequality, the converg...
关键词:DIFFUSIONS MANIFOLD MARKOV CHAINS spectral gap couplings. 
Coupling, spectral gap and related topics (Ⅰ)被引量:1
《Chinese Science Bulletin》1997年第16期1321-1327,共7页CHEN MufaDepartment of Mathematics, Beijing Normal University, Beijing 100875, China 
THIS is the first of a series of three reviews. They are partially surveys on three aspects: (ⅰ) explaining the main ideas of our recent application of the coupling method to the estimation of spectral gap, (ⅱ) intr...
关键词:DIFFUSIONS MANIFOLD MARKOV CHAINS spectral gap couplings. 
Bernstein theorem for harmonic morphisms from (N + 1)-sphere to N- manifold
《Chinese Science Bulletin》1997年第1期11-14,共4页DONG YuxinDepartment of Mathematics, Hangzhou University, Hangzhou 310028, China 
morphism. Harmonic morphisms may be characterized as harmonic mappings which are horizontally weakly conformal. In recent years a substantial progress has been made in the field of harmonic morphism, for example, refs...
关键词:harmonic MORPHISM HOPF FIBRATION geodesic. 
Mean curvature flow of hypersurfaces in Einsteinnian manifold
《Chinese Science Bulletin》1996年第7期616-616,共1页蔡开仁 
Huisken proved that any hypersurface M0 satisfying a suitable convexity conditionin a Riemannian manifold contracts to a simple point during the evolution along its meancurvature vector. In this letter the ...
关键词:Mean curvature flow of hypersurfaces in Einsteinnian manifold 
A bifurcation theorem for critical points of variational equation
《Chinese Science Bulletin》1996年第5期358-362,共5页李铁成 黄文灶 
Project supported by the National Natural Science Foundation of China.
Let E be a real Hilbert space, λ∈R, F∈C^2(E×R, R). Suppose that the gradientD_xF(x,λ) of F is A(λ)x+N(x, λ), where N(x, λ) =o(│x│) as x→θ uniformly for bounded λ.In this note we consider the solutions of ...
关键词:center MANIFOLD ISOLATED INVARIANT set Morse-Conley index MORSE decomposition. 
Two-dimensional submanifolds in non-simply connected 4-manifolds
《Chinese Science Bulletin》1995年第23期1949-1953,共5页高红铸 
the National Natural Science Foundation of China.
A foundamental problem in 4-dimensional differential topology iS to find a surface with minimal genus that can represent a given two-dimensional homology class. Hsiang, Rohlin have got some results about the homologic...
关键词:4-manifold SUBMANIFOLD normal EULER number. 
Spectral gap for diffusion processes on noncompact manifolds
《Chinese Science Bulletin》1995年第14期1145-1149,共5页王凤雨 
Project partly supported by the National Natural Science Foundation of China and the State Education Commission of China.
Let (M, g) be a complete Riemannian manifold of dimension d and Ricci curvaturebounded below by-K for some K∈. Let dx and p(x,y) be respectively the Riemannianvolum element and Riemannian distance. Consider L=△+...
关键词:SPECTRAL GAP DIFFUSION PROCESS manifold. 
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