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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>>

On Quantitative Sphere Equivalence and Extrapolation Phenomenon: 《Acta Mathematica Sinica,English Series》2022年第4期709-717,共9页Jun Xi CHEN Qing Jin CHENG; NSFC(Grant Nos.12071389,11731010 and 12026237)。; Let X,Y be Banach spaces.We prove that if their unit spheres S(X)and S(Y)are(α,β)-Hlder homeomorphic for someα,β∈(0,1].Then the unit spheres of Lp[Ω,μ,X)and Lq(Ω,μ,Y)are(min{p/q,α},min{q/p,β})-Hlder homeomo...; 关键词：Banach space Hlder equivalence unit sphere Matouek’s extrapolation phenomenon

Variational Problems of Surfaces in a Sphere: 《Acta Mathematica Sinica,English Series》2021年第4期657-665,共9页Bang Chao YIN; Let x:M→S^(n+p)(1)be an n-dimensional submanifold immersed in an(n+p)-dimensional unit sphere S^(n+p)(1).In this paper,we study n-dimensional submanifolds immersed in S^(n+p)(1)which are critical points of the functi...; 关键词：SUBMANIFOLD VARIATION rigidity theorem Euler characteristic

Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces: 《Acta Mathematica Sinica,English Series》2019年第4期513-518,共6页Guang Gui DING Jian Ze LI; supported by the National Natural Science Foundation of China(Grant No.11371201);supported by the National Natural Science Foundation of China(Grant No.11601371); In this paper, based on the smooth point of the unit ball and its support linear functional,we show two equivalent formulations of the isometric extension problem between the unit spheres of strictly convex two-dimens...; 关键词：ISOMETRIC extension STRICTLY CONVEX unit SPHERE SMOOTH point ADDITIVE map

Cohomology of the Universal Enveloping Algebras of Certain Bigraded Lie Algebras: 《Acta Mathematica Sinica,English Series》2018年第10期1611-1625,共15页Li Nan ZHONG Hao ZHAO Wen Huai SHEN; supported by NSFC(Grant Nos.11671154 and 11761072);General Financial Grant from the China Postdoctoral Science Foundation(Grant No.2017M622721); Let p be an odd prime and q = 2（p- 1）. Up to total degree t - s 〈 max（（5p^3 ＋ 6p^2 ＋6p ＋4）q- 10,p^4q}, the generators of H^s,t（U（L））, the cohomology of the universal enveloping algebra of a bigraded Lie a...; 关键词：Steenrod algebra Hopf algebra Lie algebra spectral sequence stable homotopy groups of sphere

Maximum Orders of Extendable Actions on Surfaces: 《Acta Mathematica Sinica,English Series》2016年第1期54-68,共15页Chao WANG Shi Cheng WANG Yi Mu ZHANG; partially supported by National Natural Science Foundation of China(Grant No.11371034); We determine the maximum order Eg of finite groups G acting on the closed surface E9 of genus g which extends over （S3, ∑g） for all possible embeddings ∑g → S3, where g 〉 1.; 关键词：Symmetry of surface symmetry of 3-sphere extendable action

Laplace-Beltrami Differentiability of Positive Definite Kernels on the Sphere: 《Acta Mathematica Sinica,English Series》2013年第1期93-104,共12页M. H. CASTRO V. A. MENEGATTO C. P. OLIVEIRA; supported by CAPES-Brasil;supported by FAPESP-Brasil(Grant No.2010/19734-6); This contribution gives results on the action of the Laplace-Beltrami derivative on suffi- ciently smooth kernels on the sphere, those defined by absolutely and uniformly expansions generated by a family of at least c...; 关键词：SPHERE Laplace-Beltrami operator Laplace-Beltrami derivative positive definite kernels spherical harmonics

Isotropic Affine Spheres被引量：4: 《Acta Mathematica Sinica,English Series》2012年第10期1955-1972,共18页Olivier BIREMBAUX Mirjana DJORI; supported by Ministry of Science, Serbia, project 174012; In this paper, we study affine spheres which are isotropic and we obtain a complete clas- sification. In particular, we show that all such afline spheres are hyperbolic afiine spheres, isometric with SL（3, R）/SO（3...; 关键词：Afline sphere isotropic submanifold symmetric space

Proper Biharmonic Submanifolds in a Sphere被引量：1: 《Acta Mathematica Sinica,English Series》2012年第1期205-218,共14页Xian Feng WANG Lan WU; supported by National Natural Science Foundation of China (Grant No.10701007); In this paper, we obtain a constraint of the mean curvature for proper biharmonic submanifolds in a sphere. We give some characterizations of some proper biharmonic submanifolds with parallel mean curvature vector in ...; 关键词：Proper biharmonic map parallel mean curvature vector mean curvature

Chern-Simons Invariant and Conformal Embedding of a 3-Manifold: 《Acta Mathematica Sinica,English Series》2010年第1期25-28,共4页Chiakuei PENG Zizhou TANG; Supported by NSFC (Grant Nos. 10531090 and 10229101);Chang Jiang Scholars Program; This note studies the Chern-Simons invariant of a closed oriented Riemannian 3-manifold M. The first achievement is to establish the formula CS（e） - CS（e） = degA, where e and e are two （global） frames of M, and...; 关键词：Chern-Simons invariant Berger sphere conformal embedding

Symmetry and Transitive Properties of Monohedral f-triangulations of the Riemannian Sphere被引量：2: 《Acta Mathematica Sinica,English Series》2009年第10期1609-1616,共8页Ana M.BREDA J.M.SIGARRETA; Here we give the complete description of the symmetry group and transitive properties of the set of all of monohedral triangulations of the Riemannian sphere by f-tilings. We shall also show that each monohedral f-til...; 关键词：isometric folding monohedral tiling graphs combinatoric

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