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- W4200217768 abstract "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." @default.
- W4200217768 created "2021-12-31" @default.
- W4200217768 creator A5072091303 @default.
- W4200217768 date "2021-11-01" @default.
- W4200217768 modified "2023-09-24" @default.
- W4200217768 title "A structure of the solenoidal 2D vector and 2-tensor fields given in a domain with the conformal Riemannian metric" @default.
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- W4200217768 doi "https://doi.org/10.1088/1742-6596/2099/1/012041" @default.
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