云南高校图书馆联盟文献共享服务平台- SUBMANIFOLDS

SUBMANIFOLDS: 作品数：116被引量：104H指数：7; 导出分析报告; 相关领域：理学更多>>; 相关作者：孙华飞贾兴琴李中林沈一兵更多>>; 相关机构：杭州大学东北工学院河南大学南昌大学更多>>; 相关期刊：《Journal of Beijing Institute of Technology》《Journal of Applied Mathematics and Physics》《Tsinghua Science and Technology》《Communications in Mathematical Research》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金中国博士后科学基金国家重点基础研究发展计划更多>>

Vanishing Theorems for p-Harmonic Forms on Submanifolds in Spheres: 《Journal of Contemporary Educational Research》2024年第4期48-53,共6页Nan Li; In this paper,we present some vanishing theorems for p-harmonic forms on-super stable complete submanifold M immersed in sphere Sn+m.When 2≤1≤n-2,M has a flat normal bundle.Assuming that M is a minimal submanifold ...; 关键词：p-harmonic forms Vanishing theorems SUBMANIFOLDS

Mean Curvature Flow of Arbitrary Codimension in Complex Projective Spaces: 《Chinese Annals of Mathematics,Series B》2023年第6期857-892,共36页Li LEI Hongwei XU; supported by the National Natural Science Foundation of China(Nos.12071424,11531012,12201087).; Recently,Pipoli and Sinestrari[Pipoli,G.and Sinestrari,C.,Mean curvature flow of pinched submanifolds of CPn,Comm.Anal.Geom.,25,2017,799-846]initiated the study of convergence problem for the mean curvature flow of sm...; 关键词：Mean curvature flow Submanifolds of arbitrary codimension Complex projective space Convergence theorem Differentiable sphere theorem

Rough Singular Integral Operators along Submanifolds: 《Analysis in Theory and Applications》2023年第3期201-243,共43页Feng Liu; survey report given in the Workshop on Operators with Rough Kernels in China(Jinhua,July 15-18,2022);supported partly by the National Natural Sci-ence Foundation of China(Grant No.11701333)。; This paper is a summary of the research on the mapping properties of sin-gular integrals with rough kernels and the corresponding maximal operators.More precisely,the author presents some recent progress,interesting p...; 关键词：Singularintegral maximalsingularintegral roughkernel SUBMANIFOLDS

GLOBAL RIGIDITY THEOREMS FOR SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE: 《Acta Mathematica Scientia》2023年第1期169-183,共15页潘鹏飞许洪伟赵恩涛; supported by the National Natural Science Foundation of China(11531012,12071424,12171423);the Scientific Research Project of Shaoxing University(2021LG016)。; In this paper,we mainly study the global rigidity theorem of Riemannian submanifolds in space forms.Let Mn(n≥3)be a complete minimal submanifold in the unit sphere Sn+p(1).Forλ∈[0,n2−1/p),there is an explicit posit...; 关键词：Euclidean space the unit sphere submanifolds with parallel mean curvature global rigidity theorem

Holomorphic Retractions of Bounded Symmetric Domains onto Totally Geodesic Complex Submanifolds: 《Chinese Annals of Mathematics,Series B》2022年第6期1125-1142,共18页Ngaiming MOK; Given a bounded symmetric domain Ω the author considers the geometry of its totally geodesic complex submanifolds S■Ω.In terms of the Harish-Chandra realization Ω and taking S to pass through the origin 0∈Ω,so t...; 关键词：Bounded symmetric domain Harish-Chandra embedding Holomorphic retraction Totally geodesy

SPACE-LIKE BLASCHKE ISOPARAMETRIC SUBMANIFOLDS IN THE LIGHT-CONE OF CONSTANT SCALAR CURVATURE: 《Acta Mathematica Scientia》2022年第4期1547-1568,共22页Hongru SONG Ximin LIU; supported by Foundation of Natural Sciences of China(11671121,11871197 and 11431009)。; Let E_(s)^(m+p+1) ?R_(s+1)^(m+p+2)(m≥ 2,p≥ 1,0≤s≤p) be the standard(punched)light-cone in the Lorentzian space R_(s+1)^(m+p+2),and let Y:M^(m)→E_(s)^(m+p+1) be a space-like immersed submanifold of dimension m.The...; 关键词：Conic Mobius form parallel Blaschke tensor induced metric conic second fundamental form stationary submanifolds constant scalar curvature

A Characterization of the Standard Tori in C^(2) as Compact Lagrangian ξ-Submanifolds: 《Chinese Annals of Mathematics,Series B》2022年第3期473-484,共12页Xingxiao LI Ruiwei XU; supported by the National Natural Science Foundation of China(Nos.11671121,11871197); In this paper,the authors give a characterization theorem for the standard tori S^(1)(a)×S^(1)(b),a,b>0,as the compact Lagrangianξ-submanifolds in the two-dimensional complex Euclidean space C^(2),and obtain the bes...; 关键词：ξ-Submanifold the Second fundamental form Mean curvature vector Standard tori

On Submanifolds of the Unit Sphere with Vanishing Mobius Form and Parallel Para-Blaschke Tensor: 《Acta Mathematica Sinica,English Series》2022年第2期347-370,共24页Hong Ru SONG Xi Min LIU; Supported by Foundation of Natural Sciences of China(Grant Nos.11671121,11871197,11431009)。; The para-Blaschke tensor are extended in this paper from hypersurfaces to general higher codimensional submanifolds in the unit sphere S^(n),which is invariant under the Mobius transformations on Sn.Then some typical ...; 关键词：Parallel Blaschke tensor vanishing Mobius form constant scalar curvature parallel mean curvature vector field

Submanifolds of P^(n)(l)with Splitting Tangent Sequence: 《Acta Mathematica Sinica,English Series》2022年第2期397-405,共9页Duo LI; Supported by National Natural Science Foundation of China(Grant No.12001547);Guangdong Basic and Applied Basic Research Foundation(Grant No.2019A1515110907)。; Let l be a line in a projective space Pn.We consider the blowing up P^(n)(l)of Pnalong l.Assume that X is a smooth closed subvariety of P^(n).If the strict transform of X in P^(n)(l)has a splitting tangent sequence an...; 关键词：Blowing up tangent sequence SPLITTING

Graham-Witten's Conformal Invariant for Closed Four Dimensional Submanifolds: 《Journal of Mathematical Study》2021年第2期200-226,共27页Yongbing Zhang; "the Fundamental Research Funds for the Central Universities"and NSFC 12071450.; It was proved by Graham and Witten in 1999 that conformal invariants of submanifolds can be obtained via volume renormalization of minimal surfaces in con-formally compact Einstein manifolds.The conformal invariant of...; 关键词：Minimal surface AdS/CFT conformal invariant

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