Darboux Transformations for Space-Like Isothermic Surfaces in R^m,1 被引量：4

Darboux Transformations for Space-Like Isothermic Surfaces in R~(m,1)

下载PDF

导出

摘要 In this paper,by using the G_(m,1)~(1,1)-system,we study Darboux transformations for space-like isothermic surfaces in Minkowski space R~(m,1),where G_(m,1)~(1,1)=O(m+1,2)/O(m,1)×O(1,1).

作者 ZUODa-Feng CHENQing CHENGYi

机构地区 DepartmentofMathematicsScience DepartmentofMathematics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6期816-820,共5页 理论物理通讯（英文版）

基金国家重点基础研究发展计划(973计划)，国家自然科学基金

关键词 G_(m 1)~(1 1)-system Darboux transformation space-like isothermic surfaces Darboux转换类空间等温表面 Minkowski空间标准变换矩阵变换

分类号 O151.21 [理学—数学]

引文网络
相关文献

参考文献1

1Zhang, GQ,Dou, XL.POTENTIAL INVERSION PROBLEMS FOR COUPLED SYSTEM OF DOWNGOING AND UPCOMING ONE-WAY WAVE EQUATIONS[J].Journal of Computational Mathematics,1998,16(6):551-560. 被引量：1

同被引文献26

1DENG Yanjuan WANG Changping.Time-like Willmore surfaces in Lorentzian 3-space[J].Science China Mathematics,2006,49(1):75-85. 被引量：2
2MA Xiang,WANG Peng.Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms[J].Science China Mathematics,2008,51(9):1561-1576. 被引量：2
3Xiang Ma.Adjoint transform of Willmore surfaces in [InlineMediaObject not available: see fulltext.][J]. manuscripta mathematica . 2006 (2) 被引量：1
4Changping Wang.Moebius geometry of submanifolds in ? n[J]. manuscripta mathematica . 1998 (4) 被引量：1
5L. J. Al?as,B. Palmer.Conformal geometry of surfaces in Lorentzian space forms[J]. Geometriae Dedicata . 1996 (3) 被引量：1
6Emilio Musso.Willmore surfaces in the four-sphere[J]. Annals of Global Analysis and Geometry . 1990 (1) 被引量：1
7Ejiri N.Willmore surfaces with a duality in Sn(1). Proceedings of the London Mathematical Society . 1988 被引量：1
8Montiel S.Willmore two spheres in the four-sphere. Transactions of the American Mathematical Society . 2000 被引量：1
9Musso E.Willmore surfaces in the four-sphere. Annals of Global Analysis and Geometry . 1990 被引量：1
10Alias L J,Palmer B.Conformal geometry of surfaces inLorentzian space forms. Geometriae Dedicata . 1996 被引量：1

引证文献4

1MA Xiang,WANG Peng.Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms[J].Science China Mathematics,2008,51(9):1561-1576. 被引量：2
2ZUODAFENG,CHENQING,CHENGYI.FLAT TIME-LIKE SUBMANIFOLDS IN ANTI-DE SITTER SPACE H_1^(2n-1) (-1)[J].Chinese Annals of Mathematics,Series B,2005,26(3):457-466.
3马翔,王鹏.4维Lorentz空间形式中的类空Willmore曲面[J].中国科学（A辑）,2008,38(7):735-749.
4徐传友.特殊等温曲面和孤子[J].阜阳师范学院学报（自然科学版）,2014,31(4):1-7.

二级引证文献2

1徐传友.特殊等温曲面和孤子[J].阜阳师范学院学报（自然科学版）,2014,31(4):1-7.
2陈慧昭,王鹏,王孝振.R_(1)^(4)中具有正则平坦嵌入端的零亏格的完备类空H=0曲面[J].数学学报（中文版）,2022,65(3):533-546.

1赵海琼,朱佐农,张京丽.Darboux Transformations and New Explicit Solutions for a Blaszak-Marciniak Three-Field Lattice Equation[J].Communications in Theoretical Physics,2011,56(7):23-30.
2GUGHAOHAO,HUHESHENG.SOME REMARKS ON SINGULAR DARBOUX TRANSFORMATIONS FOR UNITONS[J].Chinese Annals of Mathematics,Series B,2001,22(3):263-266. 被引量：2
3金慧萍,魏宝社.关于一类非多项式位势的Littlewood问题(英文)[J].南京大学学报（数学半年刊）,2008,25(2):178-189. 被引量：2
4Yuan YUAN Hui Li LIU.Some New Translation Surfaces in 3-Minkowski Space[J].Journal of Mathematical Research and Exposition,2011,31(6):1123-1128. 被引量：1
5HE Yijie.Light-Like Extremal Surfaces in Minkowski Space R^1＋（1＋n）[J].Journal of Partial Differential Equations,2010,23(2):158-167.
6谷超豪,东瑜昕,沈一兵.Constructive factorizations of unitons via singular Darboux transformations[J].Science China Mathematics,2000,43(2):149-157. 被引量：2
7XU Rui.Darboux Transformations and Soliton Solutions for Classical Boussinesq-Burgers Equation[J].Communications in Theoretical Physics,2008,50(9):579-582. 被引量：4
8李玉奇,陈俊超,陈勇,楼森岳.Darboux Transformations via Lie Point Symmetries： KdV Equation[J].Chinese Physics Letters,2014,31(1):1-4. 被引量：2
9刘官厅.势BLMP系统的Bcklund变换和新的局域相干结构(英文)[J].内蒙古师范大学学报（自然科学汉文版）,2008,37(2):145-148.
10Yan ZHANG School of Statistics and Mathematics , Zhejiang Gongshang University, Hangzhou 310018, China,Department of Physics, Zhejiang University, Hangzhou 310027, China.The Cauchy problem about Dirac-wave map from the 2-dimension Minkowski space to a complete Riemannian manifold[J].Science China Mathematics,2007,50(6):859-874.

Communications in Theoretical Physics

2004年第6期

浏览历史

内容加载中请稍等...

Darboux Transformations for Space-Like Isothermic Surfaces in R^m,1 被引量：4

参考文献1

同被引文献26

引证文献4

二级引证文献2

相关作者

相关机构

相关主题

浏览历史