期刊论文详细信息
Acta Mathematica Academiae Paedagogicae NyÃregyháziensis | |
A note on variational and metrizable connections | |
Alena Vanzurová1  | |
[1] Brno University of Technology | |
关键词: Helmholtz conditions; | |
DOI : | |
学科分类:数学(综合) | |
来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica | |
【 摘 要 】
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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912020427749ZK.pdf | 197KB | download |