GEOMETRIC ASPECTS OF CLASSICAL NONHOLONOMIC, SCLERONOMIC MECHANICAL SYSTEMS
VALER NIMINEŢ, VICTOR BLĂNUŢĂ
Department of Mathematics and Informatics, Faculty of Sciences, “Vasile Alecsandri” University of Bacău, Spiru Haret 8, 600114 Bacău, ROMANIA, e- mail:valern@ub.ro;vblanuta@ub.ro
Abstract
A classical nonholonomic, scleronomic mechanical system Σ(1.1) is considered, whose the evolution equations are (2.6.). We associate to system Σ a canonical semispray S* on the phases space TM and we use the differential geometry of Lagrange spaces to study the systems Σ.