On the Bergman representative coordinates 被引量：2

On the Bergman representative coordinates

导出

摘要 We study the set where the so-called Bergman representative coordinates (or Bergman functions) form an immersion. We provide an estimate of the size of a maximal geodesic ball with respect to the Bergman metric contained in this set. By concrete examples we show that these estimates are the best possible. We study the set where the so-called Bergman representative coordinates （or Bergman functions） form an immersion. We provide an estimate of the size of a maximal geodesic ball with respect to the Bergman metric contained in this set. By concrete examples we show that these estimates are the best possible.

作者 DINEW Zywomir

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 2011年第7期1357-1374,共18页 中国科学：数学（英文版）

关键词 representative coordinates Bergman metric geodesic ball Lu Qi-Keng conjecture Hermitian geometry 坐标 Bergman度量研究所测地球估计

分类号 O186.12 [理学—数学]

引文网络
相关文献

参考文献3

1LU QiKeng Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.Holomorphic invariant forms of a bounded domain[J].Science China Mathematics,2008,51(11):1945-1964. 被引量：4
2陆启铿.THE CONJUGATE POINTS OF CP^∞ AND THE ZEROES OF BERGMAN KERNEL[J].Acta Mathematica Scientia,2009,29(3):480-492. 被引量：3
3XU Yichao,CHEN Minru & MA Songya Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China,College of Mathematics and Information Sciences, Henan University, Kaifeng 475001, China.Explicit formula of holomorphic automorphism group on complex homogeneous bounded domains[J].Science China Mathematics,2006,49(10):1392-1404. 被引量：4

二级参考文献21

1LU Qikeng(Institute of Mathematics, Academia Sinica, Beijing 100080, China).A NOTE ON SELF-DUAL AND ANTI-SELF-DUAL GAUGE FIELD[J].Systems Science and Mathematical Sciences,1999,12(S1):70-73. 被引量：1
2陆启铿.THE POISSON FORMULA FOR HARMONIC (1, 0)-FORMS BALL OF C^(n*)[J].Acta Mathematica Scientia,1991,11(3):267-273. 被引量：1
3[1]Piatetski-Shapiro I I.Geometry of Classical Domains and Theory of Automorphic Functions,Fizmatgiz,Moscow,1961 (English transl).New York:Gordon and Breach,1969 被引量：1
4[2]Vinberg E B,Gindikin S G,Piatetski-Shapiro I I.Classification and canonical realization of complex bounded homogeneous domains.Trudy Moskov Mat Obsc,1963,12:359-388 被引量：1
5[3]Xu Y C.On the automorphism group of the homogeneous bounded domains.Acta Math Sinica,Chinese Series,1976,19:169-191 被引量：1
6[4]Xu Y C.On the isomorphism of homogeneous bounded domains.Acta Math Sinica,Chinese Series,1977,20:248-266 被引量：1
7[5]Xu Y C.Theory of Complex Homogeneous Bounded Domains.Beijing-Dordrecht:Science Press & Kluwer Publishers,2005 被引量：1
8[6]Hua L K.Harmonic analysis of functions of several complex variables in the classical domains.In:Transl Math Mono,Vol.6.Providence:Amer Math Soc,1963 被引量：1
9[7]Dorfmeister J.Homogeneous Siegel domains.Nagoya Math J,1982,86:39-83 被引量：1
10陆启铿.THE ESTIMATION OF THE INTRINSIC DERIVATIVES OF THE ANALYTIC MAPPINGS OF BOUNDED DOMAINS[J]Science in China,Ser.A,1979(S1). 被引量：1

共引文献8

1Xin ZHAO,An WANG.Zero Problems of the Bergman Kernel Function on the First Type of Cartan-Hartogs Domain[J].Chinese Annals of Mathematics,Series B,2022,43(2):265-280. 被引量：2
2李晓燕.一类Reinhardt域D的全纯自同构群Aut(D)在原点的最大迷向子群[J].湖州师范学院学报,2012,34(2):6-9.
3LU Qi-Keng Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100190, China.Poisson kernel and Cauchy formula of a non-symmetric transitive domain[J].Science China Mathematics,2010,53(7):1678-1683.
4Wei Ming LIU,Fu Sheng DENG.Conjugate Points on a Type of Kahler Manifolds[J].Acta Mathematica Sinica,English Series,2013,29(6):1175-1184.
5LU QiKeng.An inequality of the holomorphic invariant forms[J].Science China Mathematics,2013,56(10):1965-1968. 被引量：1
6LU Qi Keng.On the lower bounds of the curvatures in a bounded domain[J].Science China Mathematics,2015,58(1):1-10. 被引量：1
7潘利双,王安.Bergman-Hartogs型域的全纯自同构群[J].中国科学：数学,2015,45(1):31-42. 被引量：2
8ZHANG LiYou.Intrinsic derivative, curvature estimates and squeezing function[J].Science China Mathematics,2017,60(6):1149-1162. 被引量：1

同被引文献3

1LU QiKeng Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.Holomorphic invariant forms of a bounded domain[J].Science China Mathematics,2008,51(11):1945-1964. 被引量：4
2LU QiKeng.An inequality of the holomorphic invariant forms[J].Science China Mathematics,2013,56(10):1965-1968. 被引量：1
3LU Qi Keng.On the lower bounds of the curvatures in a bounded domain[J].Science China Mathematics,2015,58(1):1-10. 被引量：1

引证文献2

1LU QiKeng.An inequality of the holomorphic invariant forms[J].Science China Mathematics,2013,56(10):1965-1968. 被引量：1
2ZHANG LiYou.Intrinsic derivative, curvature estimates and squeezing function[J].Science China Mathematics,2017,60(6):1149-1162. 被引量：1

二级引证文献2

1Feng RONG,Shichao YANG.On Fridman Invariants and Generalized Squeezing Functions[J].Chinese Annals of Mathematics,Series B,2022,43(2):161-174.
2LU QiKeng.An inequality of the holomorphic invariant forms[J].Science China Mathematics,2013,56(10):1965-1968. 被引量：1

1聂智.关于Finsler流形中的距离函数与测地球[J].工科数学,2000,16(6):8-12.
2步忱.我曾经美丽的家园[J].科普童话（恐龙寻踪）,2008(12):29-29.
3Qi DING.The Inverse Mean Curvature Flow in Rotationally Symmetric Spaces[J].Chinese Annals of Mathematics,Series B,2011,32(1):27-44. 被引量：3
4朱贤良.“歪打正着”的秘密——辨析一类集合包含关系问题的三种解答方法[J].数学教学研究,2015,34(7):59-62.
5陈卿.到欧氏空间的等距极小浸入[J].数学学报（中文版）,2000,43(4):673-676. 被引量：2
6周平原,范宏斌.巧测地球参数[J].物理教学探讨（中学生版高三卷）,2007,25(2):28-29.
7欧阳顺湘.黎曼流形上布朗运动关于测地球击中时的矩[J].曲阜师范大学学报（自然科学版）,2007,33(1):1-4.
8阮其华.Nash不等式与黎曼流形[J].莆田学院学报,2005,12(2):9-10.
9沈月芳.浅议数学归纳法及教学中易出现的问题[J].数学通讯（教师阅读）,2004,18(12M):12-13.
10王幼宁.三维空间型中闭曲面和测地球面的比较[J].数学年刊（A辑）,2003,24(6):729-734. 被引量：2

Science China Mathematics

2011年第7期

浏览历史

内容加载中请稍等...