Elastic line deformed on a pseudo-hypersurface by an external field in pseudo-Euclidean spaces

Elastic line deformed on a pseudo-hypersurface by an external field in pseudo-Euclidean spaces

导出

摘要 We derive intrinsic formulation for elastic line deformed on a pseudo-hypersurface by an external field in the pseudo-Euclidean spaces E_v^n.This formulation determines elastic line deformed on a pseudo-hypersurface. We derive intrinsic formulation for elastic line deformed on a pseudo-hypersurface by an external field in the pseudo-Euclidean spaces E v n . This formulation determines elastic line deformed on a pseudo-hypersurface.

作者 YCESAN Ahmet KEN A.Ceylan

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 2008年第2期233-240,共8页 中国科学：数学（英文版）

关键词 elastic line pseudo-Euclidean spaces intrinsic formulation external field 53A35 53B30 74M30 elastic line pseudo-Euclidean spaces intrinsic formulation external field

分类号 O186.1 [理学—基础数学]

引文网络
相关文献

参考文献8

1Professor Emeritus H. K. Nickerson,Gerald S. Manning.Intrinsic equations for a relaxed elastic line on an oriented surface[J]. Geometriae Dedicata . 1988 (2)
2Manning G S.Elastic line deformed on a surface by an external field:Intrinsic formulation and preliminary application to nucleosome energetics. Physical Review A Atomic Molecular and Optical Physics . 1988
3Yücesan A,ken A C,Ayyildiz N,Manning G S.On the relaxed elastic line on pseudo-hypersurfaces in pseudo-Euclidean spaces. Applied Mathematics and Computation . 2004
4O‘Neill B.Semi-Riemannian Geometry with Applications to Relativity. . 1983
5ken A C.Joachimsthal theorem for hypersurfacesinthe semi-Euclidean spaces. . 1995
6Do Carmo M.Differential Geometry of Curvesand Surfaces. . 1976
7Weinstock R.Calculus of Variations with Applications to Physics and Engineering. . 1952
8Nickerson H K,Manning G S.Intrinsic equations for a relaxed elastic line on an oriented surface. Geometriae Dedicata . 1988

1Rongli HUANG.Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space[J].Chinese Annals of Mathematics,Series B,2011,32(2):187-200. 被引量：1
2孙华飞,王肖华,汤莉.Translation Surfaces with Zero Mean Curvature in (2+p)-Dimensional Pseudo-Euclidean Space E_2^(2+p) or E_p^(2+p)[J].Journal of Beijing Institute of Technology,2005,14(3):336-339.
3Ayhan TUTAR,Ayhan SARIO■LUG■L.RELAXED ELASTIC LINES OF SECOND KIND ON ORIENTED SURFACE IN MINKOWSKI SPACE[J].Applied Mathematics and Mechanics(English Edition),2006,27(11):1481-1489. 被引量：1
4陶昉敏,张明焕,汤任基.THE INTERACTION PROBLEM BETWEEN THE ELASTIC LINE INCLUSIONS[J].Applied Mathematics and Mechanics(English Edition),2002,23(4):371-379.
5Rui Wei XU,Rong Li HUANG.On the Rigidity Theorems for Lagrangian Translating Solitons in Pseudo-Euclidean Space Ⅰ[J].Acta Mathematica Sinica,English Series,2013,29(7):1369-1380. 被引量：1
6Tevfik SAHIN.INTRINSIC EQUATIONS FOR A GENERALIZED RELAXED ELASTIC LINE ON AN ORIENTED SURFACE IN THE GALILEAN SPACE[J].Acta Mathematica Scientia,2013,33(3):701-711. 被引量：1
7刘洋,李宏,何斯日古楞.伪双曲型积分-微分方程的H^1-Galerkin混合元法误差估计[J].高等学校计算数学学报,2010,32(1):1-20. 被引量：21
8东瑜昕,韩英波.ON SPACELIKE AUSTERE SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACE[J].Acta Mathematica Scientia,2011,31(2):501-511.
9Ananya Ghatak,Bhabani Prasad Mandal.Comparison of Different Approaches of Finding the Positive Definite Metric in Pseudo-Hermitian Theories[J].Communications in Theoretical Physics,2013,59(5):533-539.
10王凡彬.BLOW－UP　AND　DIE－OUT　OF　SOLUTIONS　OF　NONLINEAR　PSEUDO-HYPERBOLIC　EQUATIONS　OF　GENERALIZED　NERVE　CONDUCTION　TYPE[J].Applied Mathematics and Mechanics(English Edition),1996,17(11):1101-1106.

Science China Mathematics

2008年第2期

浏览历史

内容加载中请稍等...

Elastic line deformed on a pseudo-hypersurface by an external field in pseudo-Euclidean spaces

参考文献8

相关作者

相关机构

相关主题

浏览历史