Elwin Bruno Christoffel (German: [kʁɪˈstɔfl̩]; 10 November 1829 – 15 March 1900) was a German mathematician and physicist. He introduced fundamental concepts...
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some symmetry, many of the Γijk are zero. The Christoffel symbols are named for Elwin Bruno Christoffel (1829–1900). The definitions given below are valid...
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Riemann curvature tensor (redirect from Riemann-Christoffel curvature tensor)
the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the most common way used to express...
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active in England Elwin Bruno Christoffel (1829–1900), German mathematician and physicist Named after him: Christoffel equation, Christoffel symbols, Schwarz–Christoffel...
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tensors in 1900 – continuing the earlier work of Bernhard Riemann, Elwin Bruno Christoffel, and others – as part of the absolute differential calculus. The...
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geometry. Ricci and Levi-Civita (following ideas of Elwin Bruno Christoffel) observed that the Christoffel symbols used to define the curvature could also...
37 KB (6,473 words) - 22:13, 31 August 2024
the Christoffel–Darboux formula or Christoffel–Darboux theorem is an identity for a sequence of orthogonal polynomials, introduced by Elwin Bruno Christoffel (1858)...
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Levi-Civita connection (section Christoffel symbols)
called Christoffel symbols. The Levi-Civita connection is named after Tullio Levi-Civita, although originally "discovered" by Elwin Bruno Christoffel. Levi-Civita...
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the mathematical formation of many other scientists, including Elwin Bruno Christoffel, Wilhelm Weber, Eduard Heine, Ludwig von Seidel and Julius Weingarten...
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expression can be shown using the formula for the Ricci tensor in terms of Christoffel symbols: G α β = R α β − 1 2 g α β R = R α β − 1 2 g α β g γ ζ R γ ζ...
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publication of the first part of his System der Raumlehre and by Elwin Bruno Christoffel. Notably, significant advancements came through the work of Gregorio...
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Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
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Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
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coordinates.[citation needed] Correction terms were introduced by Elwin Bruno Christoffel (following ideas of Bernhard Riemann) in the 1870s so that the...
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Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
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Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
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for the covariant derivative can be written in terms of Christoffel symbols. The Christoffel symbols find frequent use in Einstein's theory of general...
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where Γ μ ν λ {\displaystyle \Gamma _{\mu \nu }^{\lambda }} are the Christoffel symbols of the metric. This is the geodesic equation, discussed below...
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Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
187 KB (25,172 words) - 04:46, 4 September 2024
Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
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Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
106 KB (13,087 words) - 06:38, 15 September 2024
Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
93 KB (13,467 words) - 04:17, 16 September 2024
Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
11 KB (1,747 words) - 15:24, 19 July 2024
Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
43 KB (7,001 words) - 21:10, 13 July 2024
Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
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Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
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Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
22 KB (4,056 words) - 21:53, 29 December 2023
Notable tensors Mathematicians Élie Cartan Augustin-Louis Cauchy Elwin Bruno Christoffel Albert Einstein Leonhard Euler Carl Friedrich Gauss Hermann Grassmann...
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torsion-free. This connection is called the Levi-Civita connection. The Christoffel symbols of this connection are given in terms of partial derivatives...
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or pseudo-Riemannian metric. In local smooth coordinates, define the Christoffel symbols Γ i j k := 1 2 g k l ( ∂ i g j l + ∂ j g i l − ∂ l g i j ) R...
34 KB (5,859 words) - 04:51, 6 July 2024