Geometric concept of isokinetic constraint for a system of particles

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F13%3AA14018VV" target="_blank" >RIV/61988987:17310/13:A14018VV - isvavai.cz</a>
Alternative codes found
RIV/61989100:27600/13:86088325
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Geometric concept of isokinetic constraint for a system of particles
Original language description
The paper deals with the geometric concept of mechanical systems of N particles. The systems are modelled on the Cartesian product Rx X^N and its first jet prolongation J^1(Rx X^N)=Rx TX^N, where X is a 3-dimensional Riemannian manifold with a metric G.The kinetic energy T of the system of N-particles is interpreted by means of the weighted quadratic form Q_G associated with the weighted metric tensor G which arises from the original metric tensor G and the system of N particles m_1,...,m_N . A requirement for the kinetic energy of the system of N particles to be constant is regarded as a nonholonomic, so-called isokinetic constraint and it is defined as a fibered submanifold T of the jet space Rx TX^N endowed with a certain distribution C called canonical distribution, which has the meaning of generalized admissible displacements of the system of particles subject to the isokinetic constraint. Vector generators of the canonical distribution are found.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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