MINIMAL

作品数:618被引量:907H指数:13
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MINIMAL FOLIATIONS FOR THE HIGH-DIMENSIONAL FRENKEL-KONTOROVA MODEL
《Acta Mathematica Scientia》2023年第2期564-582,共19页缪雪晴 葛建华 秦文新 王亚南 
supported by the National Natural Science Foundation of China(11701298)。
For the high-dimensional Frenkel-Kontorova(FK)model on lattices,we study the existence of minimal foliations by depinning force.We introduce the tilted gradient flow and define the depinning force as the critical valu...
关键词:Aubry-Mather theory Frenkel-Kontorova model minimal foliation depinning force gradient flow 
THE MINIMAL GENUS PROBLEM—A QUARTER CENTURY OF PROGRESS
《Acta Mathematica Scientia》2022年第6期2257-2278,共22页Josef G.DORFMEISTER Tian-Jun LI 
The second author was supported by NSF(1611680).
This paper gives a survey of the progress on the minimal genus problem since Lawson's[26]survey.
关键词:four manifolds minimal genus adjunction-type inequality circle sum 
ON THE AREAS OF THE MINIMAL TRIANGLES IN VEECH SURFACES
《Acta Mathematica Scientia》2020年第2期503-514,共12页Yumin ZHONG 
Supported by National Natural Science Foundation of China(11701039);Youth and Research and Innovation Program of BUPT(2017RC18)。
Smillie and Weiss proved that the set of the areas of the minimal triangles of Veech surfaces with area 1 can be arranged as a strictly decreasing sequence{an}.And each an in the sequence corresponds to finitely many ...
关键词:Veech surfaces minimal triangles non arithmetic 
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 
A NOTE ON CONICAL KHLER-RICCI FLOW ON MINIMAL ELLIPTIC KHLER SURFACES被引量:3
《Acta Mathematica Scientia》2018年第1期169-176,共8页张雅山 
supported by the Science and Technology Development Fund(Macao S.A.R.),Grant FDCT/016/2013/A1;the Project MYRG2015-00235-FST of the University of Macao
We prove that, under a semi-ampleness type assumption on the twisted canonical line bundle, the conical Kahler-Ricci flow on a minimal elliptic Kahler surface converges in the sense of currents to a generalized conica...
关键词:conical Kahler-Ricci flow Kahler-Einstein metric minimal elliptic surface 
LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS
《Acta Mathematica Scientia》2017年第5期1519-1535,共17页张志娟 蔚喜军 常延贞 
Supported by National Natural Science Foundation of China(11571002,11461046);Natural Science Foundation of Jiangxi Province,China(20151BAB211013,20161ACB21005);Science and Technology Project of Jiangxi Provincial Department of Education,China(150172);Science Foundation of China Academy of Engineering Physics(2015B0101021);Defense Industrial Technology Development Program(B1520133015)
In this paper,the minimal dissipation local discontinuous Galerkin method is studied to solve the elliptic interface problems in two-dimensional domains.The interface may be arbitrary smooth curves.It is shown that th...
关键词:elliptic interface problem minimal dissipation local discontinuous Galerkin method error estimates 
e-FILTERS OF MS-ALGEBRAS
《Acta Mathematica Scientia》2013年第3期738-746,共9页M. Sambasiva RAO 
The notion of e-filters is introduced in an MS-algebra and characterized. The concept of D-filters is introduced and a set of equivalent conditions under which every D-filter is an e-filter are given. The properties o...
关键词:MS-ALGEBRA e-filter dense element D-filter D-prime filter minimal prime filter Hausdorff space 
CHARACTERIZATION OF MODULAR FROBENIUS GROUPS OF SPECIAL TYPE
《Acta Mathematica Scientia》2013年第2期525-531,共7页范娟娟 杜妮 曾吉文 
Supported by the National Natural Science Foundation of China (11171243, 11201385);the Technology Project of Department of Education of Fujian Province(JA12336);the Fundamental Research Funds for the Central Universities (2010121003);the Science and the Natural Science Foundation of Fujian Province (2011J01022)
In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G' is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of...
关键词:Modular Probenius group minimal normal subgroup Frobenius group conju-gacy classes 
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 
QUANTUM COMPLEXITY OF THE APPROXIMATION FOR THE CLASSES B(W_p^r([0,1]~d)) AND B(H_p^r([0,1]~d))
《Acta Mathematica Scientia》2010年第5期1808-1818,共11页叶培新 胡晓菲 
Supported by the Natural Science Foundation of China(10501026,60675010,10971251)
We study the approximation of functions from anisotropic Sobolev classes b(WpR([0, 1]d)) and HSlder-Nikolskii classes B(HPr([0, 1]d)) in the Lq ([0, 1]d) norm with q 〈 p in the quantum model of computation....
关键词:quantum approximation anisotropic classes minimal query error 
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