In differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector...
58 KB (7,683 words) - 14:11, 3 July 2024
the Levi-Civita connection is the unique affine connection on the tangent bundle of a manifold (i.e. affine connection) that preserves the (pseudo-)Riemannian...
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algebraic group over a perfect field has a unique normal smooth connected affine algebraic subgroup such that the quotient is an abelian variety. It was...
4 KB (521 words) - 03:39, 30 January 2023
parallelograms. Levi-Civita, Tullio (1917), "Nozione di parallelismo in una varietà qualunque e conseguente specificazione geometrica della curvatura riemanniana"...
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0022-1236 Ricci, G. (1903–1904), "Direzioni e invarianti principali in una varietà qualunque", Atti R. Inst. Veneto, 63 (2): 1233–1239. L.A. Sidorov (2001)...
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describing a metric connection. The metric connection is a specialization of the affine connection to surfaces or other manifolds endowed with a metric, allowing...
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central (Nuorese) areas." Renzi & Andreose 2009, p. 56: "Originariamente le varietà corse presentavano numerose affinità col sardo, ma hanno subito l'influenza...
68 KB (6,344 words) - 15:16, 7 July 2024
53001. Ricci, G. (1903–1904), "Direzioni e invarianti principali in una varietà qualunque", Atti R. Inst. Veneto, 63 (2): 1233–1239, JFM 35.0145.01 Gromov...
35 KB (5,029 words) - 23:36, 30 May 2024
Nihil enim nobis hoc tempore gravius aut molestius accidere poterat, quam affine inter caeteras principes nobis gratissima, post initam uberiorem virtutum...
94 KB (12,384 words) - 06:51, 2 July 2024
ISBN 0486667219 Levi-Civita, Tullio (1917), "Nozione di parallelismo in una varietà qualunque", Rend. Circ. Mat. Palermo, 42 (1): 173–205, doi:10.1007/BF03014898...
69 KB (10,191 words) - 09:21, 30 January 2024
ISBN 978-0-8218-3988-1 Levi-Civita, Tullio (1917), "Nozione di parallelismo in una varietà qualunque", Rend. Circ. Mat. Palermo, 42: 173–205, doi:10.1007/BF03014898...
128 KB (17,463 words) - 16:33, 10 June 2024