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CONJECTURE: 作品数：486被引量：295H指数：8; 导出分析报告; 相关领域：理学更多>>; 相关作者：韩国平刘建熙邱青刘瑞元李逸更多>>; 相关机构：华南师范大学大连理工大学浙江大学山东大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划北京市自然科学基金国家教育部博士点基金更多>>

COMPLETE KAHLER METRICS WITH POSITIVE HOLOMORPHIC SECTIONAL CURVATURES ON CERTAIN LINE BUNDLES(RELATED TO A COHOMOGENEITY ONE POINT OF VIEW ON A YAU CONJECTURE)被引量：1: 《Acta Mathematica Scientia》2024年第1期78-102,共25页段晓曼关庄丹; supported by the NSFC(12171140)。; In this article,we study Kahler metrics on a certain line bundle over some compact Kahler manifolds to find complete Kahler metrics with positive holomorphic sectional(or bisectional)curvatures.Thus,we apply a strateg...; 关键词：Kahler Metrics complete Riemannian metrics open complex manifolds holomorphic bisectional curvature C*bundle almost homogeneous manifolds

YAU'S UNIFORMIZATION CONJECTURE FOR MANIFOLDS WITH NON-MAXIMAL VOLUME GROWTH被引量：3: 《Acta Mathematica Scientia》2018年第5期1468-1484,共17页Binglong CHEN Xiping ZHU; partially supported by NSFC(11521101,11025107); The well-known Yau＇s uniformization conjecture states that any complete noncompact Kahler manifold with positive bisectional curvature is bi-holomorphic to the Euclidean space. The conjecture for the case of maximal ...; 关键词：uniformization conjecture non-maximal volume growth Chern number

THE WEINSTEIN CONJECTURE IN PRODUCT OF SYMPLECTIC MANIFOLDS被引量：1: 《Acta Mathematica Scientia》2016年第5期1245-1261,共17页丁岩峭胡建勋; supported by NSFC(11371381,11521101); In this paper, using pseudo-holomorphic curve method, one proves the Weinstein conjecture in the product P;×P;of two strongly geometrically bounded symplectic manifolds under some conditions with P;. In particular, i...; 关键词：Weinstein conjecture J-holomorphic sphere geometrically bounded

ON THE DIFFERENCE COUNTERPART OF BRCK'S CONJECTURE被引量：4: 《Acta Mathematica Scientia》2014年第3期653-659,共7页陈宗煊; supported by the National Natural Science Foundation of China(11171119); In this article, for a transcendental entire function f（z） of finite order which has a finite Borel exceptional value a, we utilize properties of complex difference equations to prove the difference counterpart of B...; 关键词：Complex difference Borel exceptional value sharing value

ON THE GLOBAL STABILITY CONJECTURE OF THE GENOTYPE SELECTION MODEL: 《Acta Mathematica Scientia》2011年第2期512-528,共17页S.H. Saker; the Deanship of Scientific in King Saud University and Centre of Research in Faculty of Science for their encouragements and their support; In 1994, Grove, Kocic, Ladas, and Levin conjectured that the local stability and global stability conditions of the fixed point -y= 1/2 in the genotype selection model should be equivalent. In this article, we give an...; 关键词：Local stability global stability discrete genotype selection model

COMPLEX POWER OF HERMITE OPERATOR: 《Acta Mathematica Scientia》2007年第4期689-693,共5页丁夏畦罗佩珠; In this paper the authors define complex power of Hermite operator and give some applications in Riemann Zeta function.; 关键词：Complex power Hermite operator Riemann conjecture

PROOF OF A CONJECTURE RELATED TO THE PARABOLIC CLASS NUMBERS OF SOME FUCHSIAN GROUPS被引量：1: 《Acta Mathematica Scientia》2005年第2期215-222,共8页Nihal Yilmazzgür Refik Keskin; This paper proves a conjecture given in [6], which is concerning with the parabolic class numbers of some Fuchsian groups.; 关键词：Parabolic class number. Fuchsian group discrete group

THE WEINSTEIN CONJECTURE ON C^1-SMOOTH HYPERSURFACE OF CONTACT TYPE被引量：1: 《Acta Mathematica Scientia》2002年第4期557-563,共7页卢广存; Supported by the NNSF of China(19971045); the MCF of Chinese University; In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C-1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved...; 关键词：Hofer-Zehnder symplectic capacity Weinstein conjecture

ILLUMINATION AND EXPOSITION OF A CONVEX n-DIMENSIONAL BODY DEPENDING ON ITS SHARPNESS: 《Acta Mathematica Scientia》2002年第2期189-198,共10页Boris V. Dekster Mathematics, Mount Allison University, Sackville, N.B. EOA 3C0, Canada; A convex n-body C is said to be exposable to a set D of a few directions if there is a linear transformation L : En → En such that L(C) arid each body isometric to L(C) is illuminated by D. Denote by En the minimum i...; 关键词：COVERING ILLUMINATION Hadwiger conjecture

NOTES ON ERDOS' CONJECTURE: 《Acta Mathematica Scientia》2000年第4期533-541,共9页孔繁超唐启鹤; Supported by National Natural Science Foundation of China; Let Xn,n ≥ 1, be a sequence of independent random variables satisfying P(Xn = 0) = 1 - P(Xn = an) = 1 - 1/Pn, where an,n ≥ 1, is a sequence of real numbers, and Pn is the nth prime,set FN(x) = P (N Xn ≤ x). The aut...; 关键词：Erdos' conjecture additive arithmetic function sums of independent random variables essential convergence weak convergence

CONJECTURE