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Nonholonomic problems and the theory of distributions

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Abstract

This article constitutes an appendix to the book by P. A. Griffiths, Exterior differential systems and the calculus of variations. Birkhäuser, 1983. It especially focusses on the distinction between holonomic and nonholonomic mechanical and variational problems, and indicates how rich and interesting the phenomena are in the nonholonomic case.

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Appendix to the Russian translation of [G]. The letter G followed by a number will refer to the corresponding reference in [G]; the quoted references, as well as [G] itself, can be found at the end of the list of references below.

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Vershik, A.M., Gershkovich, V.Y. Nonholonomic problems and the theory of distributions. Acta Appl Math 12, 181–209 (1988). https://doi.org/10.1007/BF00047498

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