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GRAVITATIONAL FIELD OF LAGRANGIAN NONHOLONOMIC MECHANICAL SYSTEM


VALER NIMINEŢ
“Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics, Informatics and Educational Sciences, Calea Mărăşeşti 157, Bacău 600115, Romania, e-mail: valern@ub.ro

Issue:

SSRSMI, Number 1, Volume XXIII

Section:

Volume 23, Number 1

Abstract:

One associates to a Lagrangian nonholonomic mechanical system a canonical semispray on the phase space TM, which has the integral curves given by the evolution equations of . The Lagrange geometry of the system is the geometry of semispray . We study h- and v- electromagnetic tensors and then we apply the Ricci identities for the gravitational potentials.

Keywords:

Lagrangian nonholonomic mechanical systems, semispray, gravitational potential.

Code [ID]:

SSRSMI201323V23S01A0011 [0003828]

DOI:

Full paper:

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