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Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles. (English. Russian original) Zbl 0734.49023

Math. Notes 49, No. 5, 467-472 (1991); translation from Mat. Zametki 49, No. 5, 37-44 (1991).
For some nonholonomic variational problems corresponding isoparametric variational problems are introduced. It is shown that these problems are equivalent, i.e. some relationship exists between the solutions of their Euler-Lagrange equations.
Reviewer: E.Iwanow (Wien)

MSC:

49S05 Variational principles of physics
70F25 Nonholonomic systems related to the dynamics of a system of particles
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References:

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