An Introduction to the Geometrical Analysis of Vector Fields

10.1142/11165 ◽  
2018 ◽  
Author(s):  
Stefano Biagi ◽  
Andrea Bonfiglioli
Keyword(s):  
Vector Fields ◽  
Geometrical Analysis

scholarly journals Descriptions of Relativistic Dynamics with World Line Condition

2019 ◽  
Vol 1 (2) ◽  
pp. 181-192 ◽  
Author(s):  
Florio Maria Ciaglia ◽  
Fabio Di Cosmo ◽  
Alberto Ibort ◽  
Giuseppe Marmo
Keyword(s):  
Tangent Bundle ◽  
Vector Fields ◽  
World Line ◽  
Poisson Brackets ◽  
Relativistic Dynamics ◽  
Geometrical Analysis ◽  
Poincaré Algebra ◽  
Algebra Versus ◽  
Line Condition

In this paper, a generalized form of relativistic dynamics is presented. A realization of the Poincaré algebra is provided in terms of vector fields on the tangent bundle of a simultaneity surface in R 4 . The construction of this realization is explicitly shown to clarify the role of the commutation relations of the Poincaré algebra versus their description in terms of Poisson brackets in the no-interaction theorem. Moreover, a geometrical analysis of the “eleventh generator” formalism introduced by Sudarshan and Mukunda is outlined, this formalism being at the basis of many proposals which evaded the no-interaction theorem.

GEOMETRICAL ANALYSIS OF FIELD - ION IMAGES

1986 ◽  
Vol 47 (C2) ◽  
pp. C2-437-C2-442 ◽  
Author(s):  
M. N. CHANDRASEKHARAIAH
Keyword(s):  
Geometrical Analysis

Parallel Computation of Complex Antennas around the Coated Object Using Iterative Vector Fields Technique

2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA
Keyword(s):  
Parallel Computation ◽  
Vector Fields
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