N. Brinzei, N. (2008) A special nonlinear connection in second order geometry. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 24 (1). pp. 33-49. ISSN 0866-0174
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Abstract
We show that, for mechanical system with external forces, the equations of deviations of solution curves of the corresponding Lagrange equations, determine a nonlinear connection on the second order tangent bundle. In particular, Jacobi equations in Finsler and Riemann spaces determine such a nonlinear connection.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | nonlinear connection, 2-tangent bundle, Finsler space, Jacobi equations |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 01 Feb 2024 10:33 |
| Last Modified: | 01 Feb 2024 10:33 |
| URI: | http://real.mtak.hu/id/eprint/186969 |
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