A brief history of the Jacobian - Archive ouverte HAL
Article Dans Une Revue Communications in Contemporary Mathematics Année : 2024

A brief history of the Jacobian

Résumé

In his pioneering work, Jacobi discovered two remarkable identities related to the Jacobian. The first one asserts that the Jacobian has a divergence structure. The second one, that some vector fields involving the cofactors of the Jacobian are divergence free. We illustrate the fundamental impact of these properties on research, from the times of Jacobi to our days.
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Dates et versions

hal-04059234 , version 1 (05-04-2023)

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Haïm Brezis, Jean Mawhin, Petru Mironescu. A brief history of the Jacobian. Communications in Contemporary Mathematics, 2024, 26 (02), pp.Article 2330001. ⟨10.1142/S021919972330001X⟩. ⟨hal-04059234⟩
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