Gregorio Ricci-Curbastro (Italian: [ɡreˈɡɔːrjo ˈrittʃi kurˈbastro]; 12 January 1853 – 6 August 1925) was an Italian mathematician. He is most famous as...

In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian...

(1904–1973), Italian mathematician Gregorio Ricci-Curbastro (1853–1925), Italian mathematician (Ricci curvature) Michelangelo Ricci (1619–82), Italian Cardinal...

tensor calculus), tensor calculus or tensor analysis developed by Gregorio Ricci-Curbastro in 1887–1896, and subsequently popularized in a paper written with...

made significant contributions in other areas. He was a pupil of Gregorio Ricci-Curbastro, the inventor of tensor calculus. His work included foundational...

they are often simply called "tensors". Tullio Levi-Civita and Gregorio Ricci-Curbastro popularised tensors in 1900 – continuing the earlier work of Bernhard...

its properties as a tensor were understood by, in particular, Gregorio Ricci-Curbastro and Tullio Levi-Civita, who first codified the notion of a tensor...

Christoffel. Notably, significant advancements came through the work of Gregorio Ricci-Curbastro and Tullio Levi-Civita, particularly in the form of absolute differential...

was introduced by Gregorio Ricci-Curbastro and Tullio Levi-Civita in the theory of Riemannian and pseudo-Riemannian geometry. Ricci and Levi-Civita (following...

Variational Principles. Dover. p. 84,109. ISBN 978-0-486-65840-7. Ricci, Gregorio; Levi-Civita, Tullio (March 1900), "Méthodes de calcul différentiel...

physics indirectly influenced development of tensor calculus by Gregorio Ricci-Curbastro and Tullio Levi-Civita. Beltrami was born in 1835 in Cremona (Lombardy)...

Ricci-Curbastro (1896). "Dei sistemi di congruenze ortogonali in una varietà qualunque". Mem. Acc. Lincei. 2 (5): 276–322. H. Levy (1925). "Ricci's coefficients...

Riemann's perspective, and a year later Tullio Levi-Civita and Gregorio Ricci-Curbastro produced their textbook systematically developing the theory of...

"discovered" by Elwin Bruno Christoffel. Levi-Civita, along with Gregorio Ricci-Curbastro, used Christoffel's symbols to define the notion of parallel transport...

achieving brevity. As part of mathematics it is a notational subset of Ricci calculus; however, it is often used in physics applications that do not...

Spinor Pin group Pinors Spinor field Killing spinor Spin manifold Ricci, Gregorio; Levi-Civita, Tullio (March 1900), "Méthodes de calcul différentiel...

Euler Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...

Euler Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...

absolute differential calculus (now known as tensor calculus) by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita between 1880 and the turn of...

the Ricci tensor is a non-metric contraction of the Riemann curvature tensor, and the scalar curvature is the unique metric contraction of the Ricci tensor...

{\textstyle R_{\mu \nu }} is the Ricci tensor, R {\textstyle R} is the Ricci scalar (the tensor contraction of the Ricci tensor), g μ ν {\textstyle g_{\mu...

Euler Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...

rather only how the shape of the body is distorted by the tidal force. The Ricci curvature, or trace component of the Riemann tensor contains precisely the...

Euler Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...

assume that the field equation for gravity relates this tensor and the Ricci tensor, which describes a particular class of tidal effects: the change...

Baseball player from Venezuela Gregorio Ricci-Curbastro (1853–1925), Italian mathematician, inventor of tensor calculus Gregorio Salvador Caja (1927-2020)...

Christoffel's ideas were generalized and greatly developed by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita, who turned them into the concept...

c}=n!} , where n is the number of dimensions, is a common "identity". The Ricci and Bianchi identities given in terms of the Riemann curvature tensor illustrate...

Euler Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl...

electromagnetism Electromagnetic stress–energy tensor Gluon field strength tensor Ricci calculus Riemann–Silberstein vector ^ By definition, T [ a b c ] = 1 3 ...