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SUBMANIFOLD: 作品数：74被引量：51H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：李玉清崔玉衡陈建华孙弘安成庆明更多>>; 相关机构：渤海大学东北工学院江西理工大学中国科学技术大学更多>>; 相关期刊：《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《Science Bulletin》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划北京市自然科学基金更多>>

The Logarithmic Sobolev Inequality for a Submanifold in Manifolds with Nonnegative Sectional Curvature: 《Chinese Annals of Mathematics,Series B》2024年第3期487-496,共10页Chengyang YI Yu ZHENG; supported by the National Natural Science Foundation of China(No.12271163);the Science and Technology Commission of Shanghai Municipality(No.22DZ2229014);Shanghai Key Laboratory of PMMP.; The authors prove a sharp logarithmic Sobolev inequality which holds for compact submanifolds without boundary in Riemannian manifolds with nonnegative sectional curvature of arbitrary dimension and codimension.Like t...; 关键词：Logarithmic Sobolev inequality Nonnegative sectional curvature SUBMANIFOLD

THE LOGARITHMIC SOBOLEV INEQUALITY FOR A SUBMANIFOLD IN MANIFOLDS WITH ASYMPTOTICALLY NONNEGATIVE SECTIONAL CURVATURE: 《Acta Mathematica Scientia》2024年第1期189-194,共6页东瑜昕林和子陆琳根; Supported by the NSFC(11771087,12171091 and 11831005)。; In this note,we prove a logarithmic Sobolev inequality which holds for compact submanifolds without a boundary in manifolds with asymptotically nonnegative sectional curvature.Like the Michale-Simon Sobolev inequality...; 关键词：asymptotically nonnegative sectional curvature logarithmic Sobolev inequality ABP method

Inequalities for Scalar Curvature and Shape Operator of an R-Lightlike Submanifold in Semi-Riemannian Manifold: 《Journal of Applied Mathematics and Physics》2023年第7期1895-1913,共19页Menedore Karimumuryango Domitien Ndayirukiye Hans-Fotsing Tetsing Gilbert Nibaruta Aboubacar Nibirantiza; We establish the links between the lightlike geometry and basics invariants of the associated semi-Riemannian geometry on r-lightlike submanifold and semi-Riemannian constructed from a semi-Riemannian ambient. Then we...; 关键词：Semi-Riemannian Submanifold SUBMANIFOLD RIGGING Closed Normalization Associated Semi-Riemannian Metric

Topology and Curvature of Isoparametric Families in Spheres: 《Communications in Mathematics and Statistics》2023年第2期439-475,共37页Chao Qian Zizhou Tang Wenjiao Yan; partially supported by the NSFC(Nos.11722101,11871282,11931007);BNSF(Z190003);Nankai Zhide Foundation;Beijing Institute of Technology Research Fund Program for Young Scholars.; An isoparametric family in the unit sphere consists of parallel isoparametric hypersurfaces and their two focal submanifolds.The present paper has two parts.The first part investigates topology of the isoparametric fa...; 关键词：Isoparametric hypersurface Focal submanifold Homotopy equivalent HOMEOMORPHISM DIFFEOMORPHISM Parallelizability Lusternik-Schnirelmann category Sectional curvature Ricci curvature

A Discussion on the Establishment That a Fibre Metric on the Positive Definite Real Inner-Product of a Properly Embedded Smooth Submanifold Be Always Extended to a Riemannian Metric on the Positive Definite Real Inner-Product: 《Advances in Pure Mathematics》2023年第5期207-210,共4页Zhiwei Yan; Let M be a smooth manifold and S ⊆ M a properly embedded smooth submanifold. Suppose that we have a fibre metric on TM|_s i.e. a positive definite real inner-product on T_pM for all p ∈ S, which d...; 关键词：Embedded Smooth Manifold Superplane Riemannian Metric

Conformally flat, minimal, Lagrangian submanifolds in complex space forms: 《Science China Mathematics》2022年第8期1641-1660,共20页Miroslava Antić Luc Vrancken; supported by the Ministry of Education,Science and Technological Development of the Republic of Serbia(Grant No.174012)。; We investigate n-dimensional(n≥4),conformally flat,minimal,Lagrangian submanifolds of the n-dimensional complex space form in terms of the multiplicities of the eigenvalues of the Schouten tensor and classify those t...; 关键词：Lagrangian submanifolds conformally flat complex space form warped product submanifold

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

Isoparametric hypersurfaces in Finsler space forms被引量：1: 《Science China Mathematics》2021年第7期1463-1478,共16页Qun He Yali Chen Songting Yin Tingting Ren; supported by National Natural Science Foundation of China (Grant Nos. 11971253 and 11471246);AnHui Natural Science Foundation (Grant No. 1608085MA03)。; In this paper, we study isoparametric hypersurfaces in Finsler space forms by investigating focal points, tubes and parallel hypersurfaces of submanifolds. We prove that the focal submanifolds of isoparametric hypersu...; 关键词：Finsler space form isoparametric hypersurface focal submanifold Randers space principal curvature anisotropic mean curvature

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

Generalized Ejiri’s Rigidity Theorem for Submanifolds in Pinched Manifolds(In memory of Professor Chaohao Gu on his 90th birthday): 《Chinese Annals of Mathematics,Series B》2020年第2期285-302,共18页Hongwei XU Li LEI Juanru GU; the National Natural Science Foundation of China(Nos.11531012,11371315,11301476)。; Let Mn(n ≥ 4) be an oriented compact submanifold with parallel mean curvature in an(n + p)-dimensional complete simply connected Riemannian manifold Nn+p.Then there exists a constant δ(n, p) ∈(0, 1) such that if th...; 关键词：Minimal SUBMANIFOLD Ejiri RIGIDITY theorem RICCI CURVATURE Mean CURVATURE

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