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MANIFOLDS: 作品数：272被引量：210H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：陈维桓王中良黄晓玲王碧祥韩英波更多>>; 相关机构：中国科学院数学与系统科学研究院东南大学北京大学信阳师范学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金美国国家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更多>>

Stable reflexive sheaves over compact Gauduchon manifolds: 《Science China Mathematics》2025年第4期891-916,共26页Zeng Chen Chuanjing Zhang; supported by the National Key R&D Program of China(Grant No.2020YFA0713100);National Natural Science Foundation of China(Grant Nos.12371062,12141104,and11801535);the Fundamental Research Funds for the Central Universities。; In this paper,we obtain the Hermitian-Einstein metrics on stable reflexive sheaves over compact Gauduchon manifolds.; 关键词：compact Gauduchon manifold stable reflexive sheaf Hermitian-Einstein metric

A class of Hessian quotient equations in warped product manifolds: 《Science China Mathematics》2025年第3期637-648,共12页Weimin Sheng Ke Xue; supported by National Key R&D Program of China(Grant No.2022YFA1005500);National Natural Science Foundation of China(Grant Nos.12031017 and 11971424)。; Given a compact Riemannian manifold M and an open interval I in R,we consider a warped product manifold M=I×φM.For a positive function f defined on M,we obtain the existence of the(η,k)-convex hypersurfaceΣwhich s...; 关键词：warped product manifold (η k)-convex curvature equation

On Closed Six-Manifolds Admitting Riemannian Metrics with Positive Sectional Curvature and Non-Abelian Symmetry: 《Acta Mathematica Sinica,English Series》2024年第12期3003-3026,共24页Yu Hang LIU; Supported by Research Development Fund of XJTLU(Grant No.RDF-22-01-027)。; We study the topology of closed,simply-connected,6-dimensional Riemannian manifolds of positive sectional curvature which admit isometric actions by SU(2)or SO(3).We show that their Euler characteristic agrees with th...; 关键词：Six-manifolds positive curvature Riemannian manifolds

A SCHWARZ LEMMA FOR TRANSVERSALLY V-HARMONIC MAPS BETWEEN RIEMANNIAN FOLIATED MANIFOLDS: 《Acta Mathematica Scientia》2024年第6期2509-2526,共18页Xin HUANG; supported by the NSFC(11771087,12171091)。; In this paper,we prove a transversal V-Laplacian comparison theorem under a transversal Bakry-Emery Ricci condition.We establish a Schwarz type lemma for transversally V-harmonic maps of bounded generalized transversa...; 关键词：Schwarz lemma transversal V-Laplacian comparison theorem transversally V-harmonic map

Join multiple Riemannian manifold representation and multi-kernel non-redundancy for image clustering: 《CAAI Transactions on Intelligence Technology》2024年第5期1305-1319,共15页Mengyuan Zhang Jinglei Liu; National Natural Science Foundation of China(62273290,62072391,and 61572419).; Image clustering has received significant attention due to the growing importance of image recognition.Researchers have explored Riemannian manifold clustering,which is capable of capturing the non-linear shapes found...; 关键词：clustering data mining image representation machine learning MANIFOLDS

A Study on the Second Order Tangent Bundles over Bi-Kählerian Manifolds: 《Chinese Annals of Mathematics,Series B》2024年第5期777-804,共28页Nour Elhouda DJAA Aydin GEZER Abderrahim ZAGANE; This paper aims to study the Berger type deformed Sasaki metric g_(BS)on the second order tangent bundle T^(2)M over a bi-Kählerian manifold M.The authors firstly find the Levi-Civita connection of the Berger type def...; 关键词：Berger type deformed Sasaki metric Bi-Kählerian structure GEODESICS Harmonicity Riemannian curvature tensor Second order tangent bundle

Isometric Immersions of Lightlike Warped Product Manifolds: 《Journal of Applied Mathematics and Physics》2024年第7期2490-2505,共16页Domitien Ndayirukiye Cyriaque Atindogbe Gilbert Nibaruta; In this paper, we deal with isommetric immersions of globally null warped product manifolds into Lorentzian manifolds with constant curvature c in codimension k≥3. Under the assumptions that the globally null warped ...; 关键词：Lightlike Warped Product Manifolds Globally Null Warped Products Manifolds Lightlike Warped Product Isometric Immersions

Weak type(1, 1) of the Riesz transform on some direct product manifolds with exponential volume growth: 《Science China Mathematics》2024年第7期1599-1622,共24页Hong-Quan Li Jie-Xiang Zhu; supported by National Natural Science Foundation of China (Grant Nos. 12271102, 11625102, 11831004 and 11921001);supported by the National Key R&D Program of China (Grant Nos. 2022YFA1006000 and 2020YFA0712900)。; In this paper, we are concerned with the Riesz transform on the direct product manifold H^(n)× M,where H^(n) is the n-dimensional real hyperbolic space, and M is a connected complete non-compact Riemannian manifold s...; 关键词：Riesz transform heat kernel direct product real hyperbolic space

On Smooth Families of Diffeomorphic Manifolds and Their Distribution Function: 《Journal of Mathematical Study》2024年第2期230-242,共13页Simone Calamai; supported by GNSAGA of INdAM;funded by the Municipal Science and Technology Commission.; We present a formula for the third derivative of the distribution function of a regular function on a domain of R^(n+1),and a further discussion of the extra assumption that the function is harmonic.The present work b...; 关键词：Level set third variation

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

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