Alena, Vanzurová (2010) A note on variational and metrizable connections. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 26 (2). pp. 383-396. ISSN 0866-0174
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Abstract
We treat the problem of metrizability of a linear connection in the context of the inverse problem of the calculus of variations. Particularly, we show that in a 2-dimensional manifold endowed with a nowhere flat connection, Helmholtz conditions can be used to answer the metrizability problem in terms of components of the connection. In dim M>=3, the question is open.
| Item Type: | Article |
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| Uncontrolled Keywords: | Manifold, connection, metric, calculus of variations, inverse problem, Helmholtz conditions |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 02 Feb 2024 08:32 |
| Last Modified: | 02 Feb 2024 08:35 |
| URI: | http://real.mtak.hu/id/eprint/187123 |
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