[图书][B] From Frenet to Cartan: the method of moving frames
JN Clelland - 2017 - books.google.com
The method of moving frames originated in the early nineteenth century with the notion of
the Frenet frame along a curve in Euclidean space. Later, Darboux expanded this idea to the …
the Frenet frame along a curve in Euclidean space. Later, Darboux expanded this idea to the …
Constructing invariants for visualization of vector fields defined by integral curves of dynamic systems
SN Chukanov - Optoelectronics, Instrumentation and Data Processing, 2011 - Springer
An algorithm for obtaining invariants under a group of special affine transformations for
vector fields defined by integral curves of dynamic systems. The algorithm for constructing …
vector fields defined by integral curves of dynamic systems. The algorithm for constructing …
[PDF][PDF] Формирование инвариантов при визуализации векторных полей, определяемых интегральными кривыми динамических систем
СН Чуканов - Автометрия, 2011 - sibran.ru
Рассматривается алгоритм формирования инвариантов векторных полей,
ассоциированных с интегральными кривыми динамических систем, относительно …
ассоциированных с интегральными кривыми динамических систем, относительно …
[HTML][HTML] 类空和类时曲线的仿射性质研究
赵鑫铭， 王艺梦， 刘会立， 钱金花 - 数学杂志, 2023 - sxzz.whu.edu.cn
本文研究类空和类时曲线的中心仿射曲率, 中心仿射挠率, 曲线的曲率和挠率满足的关系以及两
类曲线的正交标架和仿射标架之间的关系的问题. 利用仿射空间和Minkowski …
类曲线的正交标架和仿射标架之间的关系的问题. 利用仿射空间和Minkowski …
Galilean geometry of motions
M Nadjafikhah, AR Forough - arXiv preprint arXiv:0707.3195, 2007 - arxiv.org
arXiv:0707.3195v1 [math.DG] 21 Jul 2007 Page 1 arXiv:0707.3195v1 [math.DG] 21 Jul 2007
Galilean geometry of motions Mehdi Nadjafikhah∗ Ahmad-Reza Forough† Abstract In this …
Galilean geometry of motions Mehdi Nadjafikhah∗ Ahmad-Reza Forough† Abstract In this …
Symmetry analysis for a new form of the vortex mode equation
M Nadjafikhah - arXiv preprint arXiv:0905.0175, 2009 - arxiv.org
Giving a new form of the vortex mode equation by a proper change of parameter, our aim is
to analyze the point and contact symmetries of the new equation. Fundamental invariants …
to analyze the point and contact symmetries of the new equation. Fundamental invariants …
Определение инвариантов при визуализации векторных полей методами геометрии расслоений
ДБ Абрамов, СО Баранов, СВ Лейхтер… - Прикладная физика и …, 2016 - elibrary.ru
Рассмотрен алгоритм формирования инвариантов векторных полей, определяемых
интегральными кривыми динамических систем, по отношению к действию лиевой …
интегральными кривыми динамических систем, по отношению к действию лиевой …
Differential invariants of curves in Galilean geometry.
A Mahdipour-Shirayeh - Differential Geometry-Dynamical …, 2013 - search.ebscohost.com
Applying Cartan's method of equivalence, this study demonstrates a classification of
spacetime curves under Galilean motions. Among with trying to signify fundamental …
spacetime curves under Galilean motions. Among with trying to signify fundamental …
[PDF][PDF] Classication of curves in anew geometry.
M Nadjafikhah… - Differential Geometry …, 2011 - researchgate.net
This paper is devoted to represent a complete classification of space curves under affine
transformations in the view of Cartan's theorem. Spivak has applied the method without …
transformations in the view of Cartan's theorem. Spivak has applied the method without …
[PDF][PDF] Classification of curves in affine geometry
M Nadjafikhah, A Mahdipour-Shirayeh - Differential Geometry …, 2011 - academia.edu
This paper is devoted to represent a complete classification of space curves under affine
transformations in the view of Cartan's theorem. Spivak has applied the method without …
transformations in the view of Cartan's theorem. Spivak has applied the method without …