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Structure equations and constraint manifolds on Lorentz plane
Author(s) -
Durmaz Olgun,
Aktaş Buşra,
Gündoğan Halit
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5275
Subject(s) - mathematics , constraint (computer aided design) , manifold (fluid mechanics) , lorentz transformation , chain (unit) , space (punctuation) , link (geometry) , mathematical analysis , lorentz space , pure mathematics , geometry , classical mechanics , physics , combinatorics , computer science , mechanical engineering , astronomy , engineering , operating system
Calculating the structure equation of a chain is important to represent the position of the end link on the chain. Furthermore, the structure equation helps to determine the constraint manifold of the chain. The constraint manifold satisfies to make geometric interpretations about the form that is obtained. What is more, the constraint forced on the positions of the end link by the rest of the chain is represented by the manifold. In Lorentz space, the structure equations change according to the causal characters of the first link. In this paper, we attain the structure equations of a planar open chain in terms of the causal character of the first link in this space. Later, the constraint manifolds of the chain by using these equations are given. Some geometric comments about these manifolds are explained.