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HOMEOMORPHISM: 作品数：59被引量：41H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：戴志娟张文跃刘颖范更多>>; 相关机构：扬州教育学院辽宁师范大学南京大学南京航空航天大学更多>>; 相关期刊：《Wuhan University Journal of Natural Sciences》《Chinese Physics B》《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematicae Applicatae Sinica》更多>>; 相关基金：国家自然科学基金湖北省自然科学基金中国博士后科学基金河北省自然科学基金更多>>

Birkhoff Orbits for Twist Homeomorphisms on the High-Dimensional Cylinder: 《Wuhan University Journal of Natural Sciences》2025年第1期43-48,共6页ZHOU Tong; Supported by the National Natural Science Foundation of China(12201446);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(22KJB110005);the Shuangchuang Program of Jiangsu Province(JSSCBS20220898)。; It is known that monotone recurrence relations can induce a class of twist homeomorphisms on the high-dimensional cylinder,which is an extension of the class of monotone twist maps on the annulus or two-dimensional cy...; 关键词：monotone recurrence relation twist homeomorphism high-dimensional cylinder bounded action Birkhoff orbit

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 Numerical Modelling Method of Fractured Reservoirs with Embedded Meshes and Topological Fracture Projection Configurations被引量：1: 《Computer Modeling in Engineering & Sciences》2022年第6期1403-1429,共27页Xiang Rao Yina Liu; supported by the National Natural Science Foundation of China(No.52104017);National Key Research and Development Program of China(Grant No.2019YFA0705501);State Center for Research and Development of Oil Shale Exploitation,and Cooperative Innovation Center of Unconventional Oil and Gas(Ministry of Education&Hubei Province),Yangtze University(No.UOG2020-17).; Projection-based embedded discrete fracture model(pEDFM)is an effective numerical model to handle the flow in fractured reservoirs,with high efficiency and strong generalization of flow models.However,this paper point...; 关键词：Numerical modeling method fractured reservoirs fracture-projection configuration flow barriers topologically homeomorphism

The Homotopical Proof of Π1(S, xo) as a Fundamental Group in a General Interval: 《Advances in Pure Mathematics》2021年第5期377-385,共9页Zigli David Delali Obeng-Denteh William Brew Lewis Ansah Richard Kwame; The aim of this study is to establish that, the equivalent class which is made up of homotopic loops is a group with respect to...; 关键词：HOMOTOPY Fundamental Group HOMEOMORPHISM Equivalent Class Path Concatenation

Kobayashi’s and Teichmuller’s Metrics and Bers Complex Manifold Structure on Circle Diffeomorphisms被引量：1: 《Acta Mathematica Sinica,English Series》2020年第3期245-272,共28页Yun Ping JIANG; supported by the National Science Foundation;supported by a collaboration grant from the Simons Foundation(Grant No.523341);PSC-CUNY awards and a grant from NSFC(Grant No.11571122)。; Given a modulus of continuity ω,we consider the Teichmuller space TC1+ω as the space of all orientation-preserving circle diffeomorphisms whose derivatives are ω-continuous functions modulo the space of Mobius tran...; 关键词：Bers complex manifold STRUCTURE circle DIFFEOMORPHISM modulus of continuity quasisymmetric circle HOMEOMORPHISM Teichmuller space Kobayashi's METRIC Teichmuller's METRIC

Rees-Shishikura's Theorem for Geometrically Finite Rational Maps被引量：1: 《Acta Mathematica Sinica,English Series》2017年第12期1587-1596,共10页Wen Qiang SHEN; In this paper, we generalize Rees-Shishikura＇s theorem to the class of geometrically finite rational maps.; 关键词：Geometrically finite rational map Rees-Shishikura＇s theorem HOMEOMORPHISM

Sewing Homeomorphism and Conformal Invariants: 《Acta Mathematica Sinica,English Series》2017年第10期1321-1338,共18页Tao CHENG Hui Qiang SHI Shanshuang YANG; The first author is partially supported by National Natural Science Foundation of China(Grant Nos.11371268and 11471117);Science and Technology Commission of Shanghai Municipality(Grant No.13dz2260400);the third author is partially supported by National Natural Science Foundation of China(Grant No.11471117);by PERS of Emory; This paper is devoted to the study of some fundamental properties of the sewing home- omorphism induced by a Jordan domain. In particular, using conformal invariants such as harmonic measure, extremal distance, and re...; 关键词：Bi-Lipschitz bi-Holder quasicircle modulus reduced extremal distance

Nonlinear Dimensionality Reduction via Homeomorphic Tangent Space and Compactness: 《国际计算机前沿大会会议论文集》2017年第1期132-133,共2页Shaoqun Zhang Wanyun Xie; This paper establishes the geometric framework of manifold learning.After summarizing the requirements of the classical manifold learning methods,we construct the smooth homeomorphism between the manifold and its tang...; 关键词：MANIFOLD learning SMOOTH HOMEOMORPHISM Homeomorphic TANGENT SPACE COMPACTNESS

Asymptotic Behaviour of Solutions of Certain Third Order Nonlinear Differential Equations via Phase Portrait Analysis: 《Applied Mathematics》2016年第18期2324-2335,共12页Roseline Ngozi Okereke Sadik Olaniyi Maliki; The global phase portrait describes the qualitative behaviour of the solution set for all time. In general, this is as close as we can get to solving nonlinear systems. The question of particular interest is: For what...; 关键词：Phase Portrait Trajectory Flow HOMEOMORPHISM Asymptotic Stability MATHCAD

Orientable Small Covers over a Product Space: 《Chinese Annals of Mathematics,Series B》2016年第3期331-356,共26页Danting WANG Yanying WANG Yanhong DING; supported by the National Natural Science Foundation of China(No.11371118);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20121303110004);the Natural Science Foundation of Hebei Province(No.A2011205075); A small cover is a closed manifold M^n with a locally standard （Z2）^n-action such that its orbit space is a simple convex polytope P^n. Let A^n denote an n-simplex and P（m） an m-gon. This paper gives formulas for ...; 关键词：（Z2）^n-Action Small cover Equivariant homeomorphism POLYTOPE

HOMEOMORPHISM