A structure of the solenoidal 2D vector and 2- tensor fields given in a domain with the conformal Riemannian metric Full article
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Journal of Physics: Conference Series
ISSN: 1742-6588 , E-ISSN: 1742-6596 |
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| Output data | Year: 2021, Volume: 2099, Number: 1, Article number : 012041, Pages count : DOI: 10.1088/1742-6596/2099/1/012041 | ||
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Abstract:
The Helmholtz decomposition of a vector field on potential and solenoidal parts is much more natural from physical and geometric points of view then representations through the components of the vector in the Cartesian coordinate system of Euclidean space. The structure, representation through potentials and detailed decomposition for 2D symmetric m-tensor fields in a case of the Euclidean metric is known. For the Riemannian metrics similar results are known for vector fields. We investigate the properties of the solenoidal vector and 2-tensor two-dimensional fields given in the Riemannian domain with the conformal metric and establish the connections between the fields and metrics. © 2021 Institute of Physics Publishing. All rights reserved.
Cite:
Derevtsov E.Y.
A structure of the solenoidal 2D vector and 2- tensor fields given in a domain with the conformal Riemannian metric
Journal of Physics: Conference Series. 2021. V.2099. N1. 012041 . DOI: 10.1088/1742-6596/2099/1/012041 Scopus OpenAlex
A structure of the solenoidal 2D vector and 2- tensor fields given in a domain with the conformal Riemannian metric
Journal of Physics: Conference Series. 2021. V.2099. N1. 012041 . DOI: 10.1088/1742-6596/2099/1/012041 Scopus OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85123677956 |
| OpenAlex: | W4200217768 |