BACKLUND TRANSFORMATIONS OF CONSTANT TORSION CURVES IN R_1~n

N.Guerbuez

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BACKLUND TRANSFORMATIONS OF CONSTANT TORSION CURVES IN R_1~n

机译：R_1〜n中的恒定扭转曲线的背景变换

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K. Tenenblat expanded the Backlund transformation of two surfaces in R~3 to space forms. This transformation was reduced to corresponding asymtotical lines by Terng. Surfaces in 3 dimensional constant curvature have constant Gaussian curvature and their asymptotical lines have constant torsion. This case was presented by A. Calini and T. Ivey. Recently S. Nemeth generalized their theorem for constant torsion curves in n-dimensional constant curvature. In this paper we also extend this case in n dimensional Lorentz space.

机译：K. Tenenblat将R〜3中两个曲面的Backlund变换扩展为空间形式。 Terng将这种变换简化为相应的渐近线。 3维恒定曲率的曲面具有恒定的高斯曲率，其渐近线具有恒定的扭转。此案由A. Calini和T. Ivey提出。最近，S。Nemeth将其定理推广为n维恒定曲率的恒定扭转曲线。在本文中，我们还在n维Lorentz空间中扩展了这种情况。

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来源
《Hadronic Journal》 |2006年第2期|p.213-220|共8页
作者
N.Guerbuez;
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作者单位

Osmangazi University Mathematics Department 26480 Eskisehir, Turkey;

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原文格式 PDF
正文语种 eng
中图分类分子物理学、原子物理学;
关键词
backlund theorem; lorentz space;

机译：逆定理;洛伦兹空间;

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专利

1. On Backlund and Ribaucour transformations for surfaces with constant negative curvature [J] . Goulart Claudiano, Tenenblat Keti Geometriae Dedicata . 2016,第Null期

机译：具有恒定负曲率的曲面的Backlund和Ribaucour变换
2. Characterizations of Bianchi-Backlund transformations of constant mean curvature surfaces [J] . Kobayashi S, Inoguchi J International journal of mathematics . 2005,第2期

机译：恒定平均曲率曲面的Bianchi-Backlund变换的特征
3. Salkowski Curves Revisited: A Family Of Curves With Constant Curvature And Non-constant Torsion [J] . J. Monterde Computer Aided Geometric Design . 2009,第3期

机译：回顾Salkowski曲线：具有恒定曲率和非恒定扭转的一系列曲线
4. ANALYTICAL SOLUTIONS FOR DIRAC AND KLEIN-GORDON EQUATIONS USING BACKLUND TRANSFORMATIONS [C] . Jorge R. Zabadal, Volnei Borges, Vinicius G. Ribeiro, International Nuclear Atlantic Conference . 2018

机译：使用背箱变换的Dirac和Klein-Gordon方程的分析解
5. Bianchi-Backlund transformations for constant mean curvature surfaces with umbilics theory and applications. [D] . Mahler, Andreia F. 2002

机译：具有脐理论的恒平均曲率曲面的Bianchi-Backlund变换。
6. Prediction of nearest neighbor effects on backbone torsion angles and NMR scalar coupling constants in disordered proteins [O] . Yang Shen, Julien Roche, Alexander Grishaev, 2018

机译：预测无序蛋白质中主链扭转角和NMR标量耦合常数的最近邻效应
7. Backlund transformations and knots of constant torsion [O] . Calini, Annalisa, Ivey, Thomas 1996

机译：Backlund变换和恒定扭转的结
8. Backlund Transformations as Canonical Transformations [R] . Villani, A., Zimerman, A. H. 1977

机译：Backlund变换作为规范变换

BACKLUND TRANSFORMATIONS OF CONSTANT TORSION CURVES IN R_1~n

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