Rigidity of Proper Self-Mapping on Some Kinds of Generalized Hartogs Triangle 被引量：6

Rigidity of Proper Self-Mapping on Some Kinds of Generalized Hartogs Triangle

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摘要 It is proved that every proper holomorphic self-mapping of some kinds of Generalized Hartogs Triangles is an automorphism.and its explicit expression is given. It is proved that every proper holomorphic self-mapping of some kinds of Generalized Hartogs Triangles is an automorphism.and its explicit expression is given.

作者 CHEN Zhi Hua XU De Kang Applied Mathematics Department.Tongji University.Shanghai 200092.P.R.China E-mail:zzzhhc@online.sh.cn dekangxu@email.com

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第2期357-362,共6页 数学学报（英文版）

基金 Project supported by the National Natural Science Foundation of China(No.19631010)

关键词 Reinhardt DOMAIN Proper mapping RIGIDITY Reinhardt domain Proper mapping Rigidity

分类号 O174.52 [理学—基础数学]

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参考文献4

1CHENZHIHUA,XUDEKANG.PROPER HOLOMORPHIC MAPPINGS BETWEEN SOME NONSMOOTH DOMAINS[J].Chinese Annals of Mathematics,Series B,2001,22(2):177-182. 被引量：9
2F. Berteloot,S. Pinchuk.Proper holomorphic mappings between bounded complete Reinhardt domains in C2[J].Mathematische Zeitschrift.1995(1)
3Eric Bedford,Steve Bell.Proper self maps of weakly pseudoconvex domains[J].Mathematische Annalen.1982(1)
4H. Alexander.Holomorphic mappings from the ball and polydisc[J].Mathematische Annalen.1974(3)

二级参考文献1

1Xiaojun H，Duke Math J，1996年，82卷，2期，437页

共引文献8

1陈志华,许德康.某些类型广义Hartogs三角型的逆紧自映射的刚性[J].数学学报（中文版）,2005,48(1):201-204.
2韩静,陈志华.关于C.Fefferman定理与全纯映射的边界扩充[J].数学进展,2005,34(6):641-660.
3韩静,陈志华.关于逆紧全纯映射刚性的一个注记[J].数学年刊（A辑）,2006,27(1):119-128.
4Zhihua CHEN,Yang LIU.The Classification of Proper Holomorphic Mappings Between Special Hartogs Triangles of Different Dimensions[J].Chinese Annals of Mathematics,Series B,2008,29(5):557-566. 被引量：1
5刘洋,韩静.不等维广义Hartogs三角形之间的逆紧全纯映射[J].数学年刊（A辑）,2009,30(3):411-420.
6Feng RONG,Shuo ZHANG.Proper Holomorphic Mappings Between n-generalized Hartogs Triangles[J].Acta Mathematica Sinica,English Series,2022,38(6):1002-1014.
7陈志华,刘远成.一类广义Hartogs三角形之间逆紧映射的分类[J].数学年刊（A辑）,2003,24(4):415-420. 被引量：3
8陈志华.广义Hartogs多面体之间的全纯逆紧映射[J].同济大学学报（自然科学版）,2003,31(9):1106-1111. 被引量：2

同被引文献5

1韩静,陈志华.全纯逆紧映射的全纯延拓性和广义Hartogs三角形上的全纯逆紧映射[J].数学物理学报（A辑）,2007,27(2):221-228. 被引量：3
2Adam COFFMAN,Yifei PAN.Proper Holomorphic Maps from Domains in C2 with Transverse Circle Action[J].Chinese Annals of Mathematics,Series B,2007,28(5):533-542. 被引量：1
3陈志华,刘远成.一类广义Hartogs三角形之间逆紧映射的分类[J].数学年刊（A辑）,2003,24(4):415-420. 被引量：3
4陈志华.广义Hartogs多面体之间的全纯逆紧映射[J].同济大学学报（自然科学版）,2003,31(9):1106-1111. 被引量：2
5CHENZHIHUA,XUDEKANG.PROPER HOLOMORPHIC MAPPINGS BETWEEN SOME NONSMOOTH DOMAINS[J].Chinese Annals of Mathematics,Series B,2001,22(2):177-182. 被引量：9

引证文献6

1CHEN ZhiHua~1 & PAN YiFei~(2,3+) 1 Department of Mathematics, Tongji University, Shanghai 200092, China,2 Department of Mathematical Sciences, Indiana University-Purdue University Fort Wayne, Fort Wayne, IN 46805-1499, USA,3 School of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang 330022, China.Proper holomorphic self-maps of smooth bounded Reinhardt domains in C^2[J].Science China Mathematics,2008,51(1):93-100.
2韩静,陈志华.关于C.Fefferman定理与全纯映射的边界扩充[J].数学进展,2005,34(6):641-660.
3韩静,陈志华.关于逆紧全纯映射刚性的一个注记[J].数学年刊（A辑）,2006,27(1):119-128.
4Zhihua CHEN,Yang LIU.The Classification of Proper Holomorphic Mappings Between Special Hartogs Triangles of Different Dimensions[J].Chinese Annals of Mathematics,Series B,2008,29(5):557-566. 被引量：1
5Feng RONG,Shuo ZHANG.Proper Holomorphic Mappings Between n-generalized Hartogs Triangles[J].Acta Mathematica Sinica,English Series,2022,38(6):1002-1014.
6陈志华,刘远成.一类广义Hartogs三角形之间逆紧映射的分类[J].数学年刊（A辑）,2003,24(4):415-420. 被引量：3

二级引证文献4

1韩静,陈志华.关于C.Fefferman定理与全纯映射的边界扩充[J].数学进展,2005,34(6):641-660.
2韩静,陈志华.关于逆紧全纯映射刚性的一个注记[J].数学年刊（A辑）,2006,27(1):119-128.
3冯志明,涂振汉,王磊.多复变Hartogs域上的度量与刚性[J].中国科学：数学,2015,45(11):1741-1758. 被引量：1
4Feng RONG,Shuo ZHANG.Proper Holomorphic Mappings Between n-generalized Hartogs Triangles[J].Acta Mathematica Sinica,English Series,2022,38(6):1002-1014.

1Monica COSENTINO,Peyman SALIMI,Pasquale VETRO.FIXED POINT RESULTS ON METRIC-TYPE SPACES[J].Acta Mathematica Scientia,2014,34(4):1237-1253. 被引量：1
2周作领.CHAOTIC BEHAVIOR OF SELF-MAPPINGS OF THE INTERVAL[J].Chinese Science Bulletin,1986,31(12):861-862.
3周作领.CHAOS AND TOTAL CHAOS[J].Chinese Science Bulletin,1988,33(18):1494-1497.
4Xiao Ming DU.On Self-Mapping Degrees of S^3-Geometry Manifolds[J].Acta Mathematica Sinica,English Series,2009,25(8):1243-1252. 被引量：1
5冯志明.Fock-Bargmann-Hartogs域的自同构的一个特征[J].乐山师范学院学报,2014,29(5):1-4. 被引量：1
6Xiao Yong XI1,2,Yong Ming LI3 1.College of Mathematics and Information Science,Shaanxi Normal University,Shaanxi 710062,P.R.China,2.College of Mathematics Science,Xuzhou Normal University,Jiangsu 221009,P.R.China,3.College of Computer Science,Shaanxi Normal University,Shaanxi 710062,P.R.China.Note about Fixed Points of Scott Continuous Self-Mappings[J].Journal of Mathematical Research and Exposition,2011,31(1):187-190.
7Lu Xiaolin,Ma Lizhuang,He Zhijun.An Arbitrary Triangular Bezier Sudivision Slgorithm and its Applications[J].Computer Aided Drafting,Design and Manufacturing,1995,5(1):15-20.
8周作领.THE SET OF PERIODIC POINTS OF SELF-MAPPINGS OF THE INTERVAL[J].Chinese Science Bulletin,1984,29(1).
9周作领.A CLASS OF SELF-MAPPINGS OF THE CIRCLE[J].Chinese Science Bulletin,1983,28(12):1580-1582.
10冯力.NECESSARY AND SUFFICIENT CONDITIONS FOR ZERO ENTROPY OF SELF-MAPPINGS OF THE CIRCLE[J].Chinese Science Bulletin,1988,33(16).

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2002年第2期

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