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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>>

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

Regularity of the Inverse of a Homeomorphism with Finite Inner Distortion: 《Acta Mathematica Sinica,English Series》2014年第12期1999-2013,共15页Chang Yu GUO; Supported partially by the Academy of Finland(Grant No.131477);the Magnus Ehrnrooth foundation; Let f ： Ω→ f（Ω） belong to R^n be a W^1,1-homeomorphism with L^1-inegrable inner We show that finiteness of min{lipf（x）, kf（x））, for every x∈ Ω／E, implies that f^-1 ∈ W^1,n and has finite distortion, pro...; 关键词：Mapping of finite distortion mappings of finite inner distortion bi-Sobolev homeomorphism Condition N on a.e. sphere modulus of rectifiable surfaces

On Locally Quasiconformal Mappings: 《Acta Mathematica Sinica,English Series》2013年第8期1543-1554,共12页Ze Min ZHOU; Supported by National Natural Science Foundation of China (Grant No 10971030); A homeomorphism w=f（z） of a domain D is called a locally quasiconformal mapping, if for each subdomain D＇ of D with ＇D, the restriction of f（z） on D＇ is a quasiconformal mapping. We give some conditions for a m...; 关键词：HOMEOMORPHISM quasiconformal mapping locally quasiconformal mapping directional dilatation

The Nonexistence of Sensitive Commutative Group Actions on Dendrites: 《Acta Mathematica Sinica,English Series》2010年第10期1961-1968,共8页En Hui SHI Bin Yong SUN Li Zhen ZHOU; Supported by National Natural Science Foundation of China (Grant Nos. 10801103, 10801126 and 10871142);Natural Sciences Fund for Colleges and Universities in Jiangsu Province (Grant No. 08KJB110010); In this paper, using the integral method observed by Mai Jiehua recently, we show that no dendrite admits a sensitive commutative group action.; 关键词：HOMEOMORPHISM commutative group action sensitivity DENDRITE CONTINUUM

Mappings of Finite Distortion: Formation of Cusps Ⅲ: 《Acta Mathematica Sinica,English Series》2010年第5期817-824,共8页Pekka KOSKELA Juhani TAKKINEN; We give sharp integrability conditions on the distortion of a planar homeomorphism that maps a standard cusp onto the unit disk.; 关键词：CUSP finite distortion planar homeomorphism

The Nonexistence of Expansive Z^d Actions on Graphs被引量：3: 《Acta Mathematica Sinica,English Series》2005年第6期1509-1514,共6页En Hui SHI Li Zhen ZHOU; NSFC 10271085.K1107319; It is well known that if X is an arc or a circle, then there is no expansive homeomorphism on X. In this paper we prove that there is no expansive Z^d action on X, which answers the two questions raised by us before, ...; 关键词：Expansive homeomorphism ARC Circle Group action

The ACL Property of Homeomorphisms under Weak Conditions: 《Acta Mathematica Sinica,English Series》1998年第4期473-480,共8页Fang Ainong, Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China; Project supported by the National Natural Science Foundation of China and JTU; Suppose that D is a domain in (n 2) and y= f(x): D → R^n is a homeomorphism. We prove that if the modulus dilatation K(x, f) satisfies the condition A then f(x) is ACL.; 关键词：Quasiconformal mappings ACL-property HOMEOMORPHISM

On the Compactness of Homeomorphisms with Integrable Dilatations: 《Acta Mathematica Sinica,English Series》1998年第2期161-168,共8页Fang Ainong (Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200030,China); Supported by the National Natural Science Foundation of China ;the Dctoral Foundation of the Education Commission of China; In this paper,a distortion theorem and some equicontinuity and compactness theorems are obtained for the homeomorphism f with the sphere dilatation H（x,f）∈L_loc（D）.; 关键词：Quasiconformal mappings Distortion theorem COMPACTNESS μ-homeomorphism

HOMEOMORPHISM