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On the geodesic form of non-relativistic dynamic equationsстатья
- Авторы: Mangiarotti L., Sardanashvily G.
- Журнал: ArXiv e-prints
- Номер: math-ph/ 9906001
- Год издания: 1999
- Аннотация: It is shown that any second order dynamic equation on a configuration bundle $Q\to R$ of non-relativistic mechanics is equivalent to a geodesic equation with respect to a (non-linear) connection on the tangent bundle $TQ\to Q$. The case of quadratic dynamic equations is analyzed in details. The equation for Jacobi vector fields is constructed and investigated by the geometric methods.
- Добавил в систему: Сарданашвили Геннадий Александрович