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HYPERSURFACE: 作品数：90被引量：93H指数：5; 导出分析报告; 相关作者：潮小李王佩君徐森林庞华栋更多>>; 相关机构：东南大学中国科学技术大学更多>>; 相关期刊：《Communications in Theoretical Physics》《Journal of Beijing Institute of Technology》《Algebra Colloquium》《Journal of Mathematical Research with Applications》更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家重点基础研究发展计划国家教育部博士点基金更多>>

VALUE DISTRIBUTION PROPERTIES FOR GAUSS MAPS OF IMMERSED HARMONIC SURFACES RAMIFIED OVER HYPERSURFACES: 《Acta Mathematica Scientia》2024年第6期2341-2360,共20页Canhui LU Xingdi CHEN; supported by the NFSC(11971182,12271189);the NFS of Fujian Province of China(2019J01066,2021J01304)。; In this paper,we study the value distribution properties of the generalized Gauss maps of weakly complete harmonic surfaces immersed in R^(m),which is the case where the generalized Gauss mapΦis ramified over a famil...; 关键词：immersed harmonic surface generalized Gauss map HYPERSURFACE RAMIFICATION quasiconformal mapping Gauss curvature

On Affine Hypersurfaces with Parallel Cubic Form Relative to Affineα-connection: 《Acta Mathematica Sinica,English Series》2024年第4期1099-1114,共16页Ce Ce LI Cheng XING Hui Yang XU; supported by NNSF of China(Grant No.11401173);supported by NNSF of China(Grant No.12171437);supported by NNSF of China(Grant No.12101194)。; Similar to Nomizu-Pinkall's geometric characterization of the Cayley surface and Hu-Li-Zhang's characterization of the Cayley hypersurface,how can one characterize the generalized Cayley hypersurfaces?In this paper,by...; 关键词：Affine hypersurface parallel cubic form affineα-connection Einstein metric

Clifford Deformations of Koszul Frobenius Algebras and Noncommutative Quadrics被引量：1: 《Algebra Colloquium》2024年第1期63-82,共20页Jiwei He Yu Ye; supported by ZJNSF(LY19A010011);NSFC(11971141,12371017);supported by NSFC(11971449,12131015,12371042).; A Clifford deformation of a Koszul Frobenius algebra E is a finite dimensional Z_(2)-graded algebra E(θ),which corresponds to a noncommutative quadric hypersurface E^(!)/(z)for some central regular element z∈E_(2)^(...; 关键词：Koszul Frobenius algebra Clifford deformation noncommutative quadric hypersurface maximal Cohen-Macaulay module

On hypersurfaces of H^(2)×H^(2): 《Science China Mathematics》2024年第2期339-366,共28页Dong Gao Hui Ma Zeke Yao; supported by National Natural Science Foundation of China (Grant Nos. 11831005, 12061131014 and 12171437);China Postdoctoral Science Foundation (Grant No. 2022M721871); In this paper,we study hypersurfaces of H^(2)×H^(2).We first classify the hypersurfaces with constant principal curvatures and constant product angle functions.Then we classify homogeneous hypersurfaces and isoparame...; 关键词：constant principal curvature homogeneous hypersurface isoparametric hypersurface

On the Quantum Cohomology of Blow-ups of Four-dimensional Quadrics: 《Acta Mathematica Sinica,English Series》2024年第1期313-328,共16页Jian Xun HU Hua Zhong KE Chang Zheng LI Lei SONG; supported by NSFC Grant(Grant Nos.11890662 and 11831017);supported by NSFC Grant(Grant Nos.12271532 and 11831017);supported by NSFC Grant(Grant No.11831017);Guangdong Introducing Innovative and Enterpreneurial Teams(Grant No.2017ZT07X355);supported by Guangdong Basic and Applied Basic Research Foundation(Grant No.2020A1515010876)。; We propose a conjecture relevant to Galkin’s lower bound conjecture,and verify it for the blow-ups of a four-dimensional quadric at a point or along a projective plane.We also show that Conjecture O holds in these tw...; 关键词：Quantum cohomology BLOW-UP quadric hypersurface

CONFORMALLY FLAT AFFINE HYPERSURFACES WITH SEMI-PARALLEL CUBIC FORM: 《Acta Mathematica Scientia》2023年第6期2413-2429,共17页徐辉阳李策策; supported by the NNSF of China (12101194,11401173).; In this paper,we study locally strongly convex affine hypersurfaces with the vanishing Weyl curvature tensor and semi-parallel cubic form relative to the Levi-Civita connection of the affine metric.As a main result,we...; 关键词：affine hypersurface semi-parallel cubic form Levi-Civita connection conformally flat warped product

Complete λ-Hypersurfaces in Euclidean Spaces: 《Chinese Annals of Mathematics,Series B》2022年第5期877-892,共16页Qingming CHENG Guoxin WEI; supported by JSPS Grant-in-Aid for Scientific Research(B)(No.16H03937);the fund of Fukuoka University(No.225001);the National Natural Science Foundation of China(No.12171164);the Natural Science Foundation of Guangdong Province(No.2019A1515011451);GDUPS(2018)。; In this paper, the authors give a survey about λ-hypersurfaces in Euclidean spaces. Especially, they focus on examples and rigidity of λ-hypersurfaces in Euclidean spaces.; 关键词：Self-shrinker λ-Hypersurface Mean curvature flow Weighted volume Rigidity theorem

L^(p)Harmonic k-forms on Complete Noncompact Hypersurfaces in S^(n+1) with Finite Total Curvature: 《Journal of Mathematical Study》2021年第4期396-406,共11页Jiuru Zhou; supported by National Natural Science Foundation of China(Grant No.11771377);the Natural Science Foundation of Jiangsu Province(Grant No.BK20191435).; In general,the space of Lp harmonic forms H^(k)(Lp(M))and reduced Lp cohomology Hk(L^(p)(M))might be not isomorphic on a complete Riemannian manifold M,except for p=2.Nevertheless,one can consider whether dimH^(k)(Lp(...; 关键词：L^(p)harmonic k-form hypersurface in sphere total curvature

Inverse Curvature Flows of Rotation Hypersurfaces: 《Acta Mathematica Sinica,English Series》2021年第11期1692-1708,共17页Yu Han JIN Xian Feng WANG Yong WEI; Supported by the National Key R and D Program of China(Grant No.2020YFA0713100);National Natural Science Foundation of China(Grant Nos.11971244 and 11871283);Natural Science Foundation of Tianjin,China(Grant No.19JCQNJC14300);Research(Grant No.KY0010000052)from University of Science and Technology of China。; We consider the inverse curvature flows of smooth,closed and strictly convex rotation hypersurfaces in space forms M_(κ)^(n+1)with speed function given by F^(-α),whereα∈(0,1]forκ=0,-1,α=1 forκ=1 and F is a smoo...; 关键词：Inverse curvature flow rotation hypersurface

Lpp-Harmonic 1-Forms on δ-Stable Hypersurface in Space Form with Nonnegative Bi-Ricci Curvature: 《Advances in Pure Mathematics》2021年第5期427-439,共13页Bakry Musa Jiancheng Liu; In this paper, we investigate the space of L^p p-harmonic 1-forms on a complete noncompact orientable δ-stable hypersurface M^m that is immersed in space form 由于版权政策及相关保密法规原因，条结果未予显示。

HYPERSURFACE