Differential geometers

Tullio Levi-Civita

Tullio Levi-Civita, ForMemRS (English: /ˈtʊlioʊ ˈlɛvi ˈtʃɪvɪtə/, Italian: [ˈtulljo ˈlɛːvi ˈtʃiːvita]; 29 March 1873 – 29 December 1941) was an Italian mathematician, most famous for his work on absolute differential calculus (tensor calculus) and its applications to the theory of relativity, but who also made significant contributions in other areas. He was a pupil of Gregorio Ricci-Curbastro, the inventor of tensor calculus. His work included foundational papers in both pure and applied mathematics, celestial mechanics (notably on the three-body problem), analytic mechanics (the Levi-Civita separability conditions in the Hamilton–Jacobi equation) and hydrodynamics. (Wikipedia).

Tullio Levi-Civita
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Levi-Civita and Kronecker: A Remarkable Relationship | Deep Dive Maths

There is a remarkable relationship between the product of two Levi-Civita symbols and the determinant of a matrix with the Kronecker delta as elements. After defining the Levi-Civita symbol and the Kronecker delta, I show how to derive this relationship using permutation matrices and the

From playlist Deep Dive Maths

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Kronecker delta and Levi-Civita symbol | Lecture 7 | Vector Calculus for Engineers

Definition of the Kronecker delta and the Levi-Civita symbol (sometimes called the permutation symbol or Levi-Civita tensor). The relationship between the Kronecker delta and the Levi-Civita symbol is discussed. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engin

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Vector Triple Product | Lecture 10 | Vector Calculus for Engineers

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Divergence of the cross product of two vectors (proof) | Lecture 22 | Vector Calculus for Engineers

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Vector Identities | Lecture 8 | Vector Calculus for Engineers

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Related pages

Attilio Palatini | Tensor calculus | Albert Einstein | Applied mathematics | Hamilton–Jacobi equation | Dirac equation | Levi-Civita connection | Riemannian geometry | Octav Onicescu | Gregorio Ricci-Curbastro | Three-body problem | Mathematics | Levi-Civita field | Tensor | Levi-Civita symbol | Infinitesimal | Levi-Civita parallelogramoid | Pure mathematics | Cauchy–Kowalevski theorem