HOMEOMORPHISM

作品数：59被引量：41H指数：3
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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>>
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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 
Chaotic Expansive Homeomorphisms on Closed Orientable Surfaces of Positive Genus
《Communications in Mathematics and Statistics》2015年第3期291-314,共24页Jiehua Mai Song Shao 
The first author is supported by the Special Foundation of National Prior Basis Research of China(Grant No.G1999075108);the second author is supported by National Natural Science Foundation of China(11171320 and 11431012).
In this paper we give a new and elementary proof to the following fact:each closed orientable surface of positive genus admits a both chaotic and expansive homeomorphism.Further more,we show that the homeomorphisms gi...
关键词：Expansive homeomorphism Chaotic homeomorphism Closed orientable surface 
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