d'Alembert-Lagrange principle on Riemann-Cartan space | Zendy

Wang Yong | Zendy; YongXin Guo | Zendy

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d'Alembert-Lagrange principle on Riemann-Cartan space

Author(s) -

Wang Yong,

YongXin Guo

Publication year - 2005

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.54.5517

Subject(s) - nonholonomic system , euclidean space , riemann hypothesis , space (punctuation) , mathematical analysis , mathematics , euclidean geometry , order (exchange) , pure mathematics , computer science , geometry , finance , artificial intelligence , robot , economics , mobile robot , operating system

The nonholonomic mapping put forward by Kleinert is generalized to a first-order linear mapping. By means of this method, Riemann-Cartan space is embedded into Euclidean space. Based on this construction, the d'Alembert-Lagrange principle of nonholonomic constrained systems in Euclidean space is reduced to an “unconstrained” representation on Riemann-Cartan space.

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