云南高校图书馆联盟文献共享服务平台- SPHERE

SPHERE: 作品数：617被引量：891H指数：12; 导出分析报告; 相关领域：理学更多>>; 相关作者：佘江峰毛翼飞宋桂娟谈心郭星辰更多>>; 相关机构：南京大学清华大学合肥工业大学中北大学更多>>; 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中国博士后科学基金国家教育部博士点基金更多>>

CLASSIFICATIONS OF DUPIN HYPERSURFACES IN LIE SPHERE GEOMETRY: 《Acta Mathematica Scientia》2024年第1期1-36,共36页Thomas E.CECIL; This is a survey of local and global classification results concerning Dupin hypersurfaces in S^(n)(or R^(n))that have been obtained in the context of Lie sphere geometry.The emphasis is on results that relate Dupin h...; 关键词：Dupin hypersurfaces isoparametric hypersurfaces Lie sphere geometry Lie sphere transformations Lie curvatures

EQUIVARIANT MINIMAL IMMERSIONS FROM S^3 INTO ■: 《Acta Mathematica Scientia》2019年第4期1065-1080,共16页Zejun HU Jiabin YIN; supported by NSF of China(11771404); Associated with an immersion φ : S^3→ ■, we can define a canonical bundle endomorphism F : TS^3→ TS^3 by the pull back of the K?hler form of ■. In this article,related to F we study equivariant minimal immersions...; 关键词：COMPLEX PROJECTIVE SPACE EQUIVARIANT MINIMAL 3-sphere

RIGIDITY OF COMPACT SURFACES IN HOMOGENEOUS 3-MANIFOLDS WITH CONSTANT MEAN CURVATURE: 《Acta Mathematica Scientia》2016年第6期1609-1618,共10页王静张银山; supported by NSFC(11371330); In this paper, we establish a rigidity theorem for compact constant mean curva- ture surfaces of the Berger sphere in terms of the surfaces＇ geometric invariants. This extends the previous similar result on compact m...; 关键词：homogeneous 3-manifolds Berger sphere constant mean curvature surface Hopf torus Clifford torus

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

DEGREE 3 ALGEBRAIC MINIMAL SURFACES IN THE 3-SPHERE被引量：1: 《Acta Mathematica Scientia》2012年第6期2065-2084,共20页Joe S.Wang; We give a local analytic characterization that a minimal surface in the 3-sphere S3 C R4 defined by an irreducible cubic polynomial is one of the Lawson＇s minimal tori. This provides an alternative proof of the resul...; 关键词：algebraic minimal surface 3-sphere cubic polynomial

CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS被引量：1: 《Acta Mathematica Scientia》2011年第5期1889-1898,共10页费杰焦晓祥许小卫; supported by the NSFC (11071248, 11071249);supported by the Fundamental Research Funds for the Central Universities(USTC); In this paper, we construct a class of homogeneous minimal 2-spheres in complex Grassmann manifolds by applying the irreducible unitary representations of SU （2）. Furthermore, we compute induced metrics, Gaussian cu...; 关键词：homogeneous 2-sphere Gaussian curvature Khler angle Veronese sequence complex Grassmann manifold

THREE-SPHERE INEQUALITIES FOR SECOND ORDER SINGULAR PARTIAL DIFFERENTIAL EQUATIONS: 《Acta Mathematica Scientia》2010年第3期993-1003,共11页张松艳; supported in part by the NNSF of China (10471069, 10771110);by NSF of Ningbo City (2009A610084); In this article, we give the three-sphere inequalities and three-ball inequalities for the singular elliptic equation div（A∨u） - Vu =0, and the three-ball inequalities on the characteristic plane and the three-cyli...; 关键词：Three-sphere inequality three-cylinder inequality singular partial differential equation Kato-Fefferman-Phong＇s class Lipschitz domain

CYCLE SPACES OF GRAPHS ON THE SPHERE AND THE PROJECTIVE PLANE被引量：1: 《Acta Mathematica Scientia》2005年第1期41-49,共9页任韩刘彦佩马登举卢俊杰; ShanghaiPriorityAcademicDisciplineSupportedbyNNSFofChina(10271048)SupportedbyNNSFofChina(60373030,19831080); Cycle base theory of a graph has been well studied in abstract mathematical field such matroid theory as Whitney and Tutte did and found many applications in prat-ical uses such as electric circuit theory and structur...; 关键词：Cycle base facial cycle graph embedding

QUANTUM PHENOMENON OF THE ENERGY DENSITY OF A HARMONIC MAP TO A SPHERE被引量：3: 《Acta Mathematica Scientia》2003年第1期41-45,共5页周振荣; Research supported by the NNSF of China (10071021); This paper proves that if the energy density of a harmonic map to a unit sphere varies between two successive half eigenvalues, then it must be one of them. Applying this result to the Gaussian maps of some submanifol...; 关键词：Energy density EIGENVALUE the second fundamental form

ON THE BOUNDEDNESS OF SPHERES IN F-SPACES被引量：1: 《Acta Mathematica Scientia》2002年第4期500-506,共7页定光桂; This research is supported by National Natural Science Foundation of China(19971046); RFDP(2001005513); In this paper, some results concerning the relationship between the bounded-ness of some spheres and the local boundedness of the .F*-space are presented. Moreover, some results about the compactness are also given.; 关键词：F*-space SPHERE local boundedness COMPACTNESS

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