云南高校图书馆联盟文献共享服务平台- HYPERSURFACES

HYPERSURFACES: 作品数：116被引量：131H指数：7; 导出分析报告; 相关领域：理学更多>>; 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武汉大学更多>>; 相关期刊：《Journal of Applied Mathematics and Physics》《Communications in Mathematics and Statistics》《Journal of Mathematical Research with Applications》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金中国博士后科学基金中国科学院科研项目国家重点基础研究发展计划更多>>

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

Application of Laplacian Operator on Lightlike Warped Product Hypersurfaces: 《Journal of Applied Mathematics and Physics》2024年第12期4163-4169,共7页Ndayirukiye Domitien Nibaruta Gilbert Karimumuryango Ménédore; The Laplacian of a function measures the difference between the value of the function at a point and its average around that point. It is a differential operator appears in many differential equations describing many ...; 关键词：LAPLACIAN Conformal Screen Manifold Hamonic Function

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

CLASSIFICATIONS OF DUPIN HYPERSURFACES IN LIE SPHERE GEOMETRY: 《Acta Mathematica Scientia》2024年第1期1-36,共36页Thomas E.CECIL; This is a survey of local and global classification results concerning Dupin hypersurfaces in S^(n)(or R^(n))that have been obtained in the context of Lie sphere geometry.The emphasis is on results that relate Dupin h...; 关键词：Dupin hypersurfaces isoparametric hypersurfaces Lie sphere geometry Lie sphere transformations Lie curvatures

Remarks on Gap Theorems for Complete Hypersurfaces with Constant Scalar Curvature: 《Journal of Mathematical Study》2023年第3期279-290,共12页Jin-Chuan Bai Yong Luo; supported by the NSF of China(Grant No.12271069);the Chongqing NSF(Grant No.cstc2021jcjy-msxmX0443).; Assume that Mn(n≥3)is a complete hypersurface in Rn+1 with zero scalar curvature.Assume that B,H,g is the second fundamental form,the mean curvature and the induced metric of M,respectively.We prove that M is a hyper...; 关键词：HYPERSURFACES constant scalar curvature gap theorem

Manin’s conjecture for a class of singular cubic hypersurfaces被引量：1: 《Frontiers of Mathematics in China》2022年第6期1089-1132,共44页Wenguang ZHAI; supported by the National Natural Science Foundation of China(Grant No.11971476).; Letℓ≥2 be a fixed positive integer and Q(y)be a positive definite quadratic form inℓvariables with integral coefficients.The aim of this paper is to count rational points of bounded height on the cubic hypersurface d...; 关键词：Manin’s conjecture quadratic form asymptotic formula divisor problem exponential sum

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

A UNIQUENESS THEOREM FOR HOLOMORPHIC MAPPINGS IN THE DISK SHARING TOTALLY GEODESIC HYPERSURFACES: 《Acta Mathematica Scientia》2022年第4期1631-1644,共14页Jiaxing HUANG Tuen Wai NG; partially supported by a graduate studentship of HKU,the RGC grant(1731115);the National Natural Science Foundation of China(11701382);partially supported by the RGC grant(1731115 and 17307420)。; In this paper,we prove a Second Main Theorem for holomorphic mappings in a disk whose image intersects some families of nonlinear hypersurfaces(totally geodesic hypersurfaces with respect to a meromorphic connection) ...; 关键词：Second Main Theorem meromorphic connection totally geodesic hypersurfaces uniqueness theorem

Rotational Hypersurfaces with Constant Gauss-Kronecker Curvature被引量：1: 《Chinese Annals of Mathematics,Series B》2022年第3期343-358,共16页Yuhang LIU Yunchu DAI; Peking University for providing financial support for the first author; The authors study rotational hypersurfaces with constant Gauss-Kronecker curvature in R^(n).They solve the ODE associated with the generating curve of such hypersurface using integral expressions and obtain several ge...; 关键词：Differential geometry Gauss-Kronecker curvature Ordinary differential equation

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

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