differential geometry
Noun
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Noun
differential geometry (uncountable)
- (geometry, analysis) The study of geometry, especially geometric structures on differentiable manifolds, using techniques from calculus, linear algebra and multilinear algebra.
- 1945, Eric Temple Bell, The Development of Mathematics, 2nd Edition, 1992 Republication, page 358 ↗,
- […] projective differential geometries of the American and Italian schools do not seem to have attracted physicists.
- 1962, I. M. James, The Mathematical Works of J. H. C. Whitehead, Volume 1: Differential Geometry, page 189 ↗,
- The general theory of manifolds of class 2 is a sub-class of differential geometries, which contain the theory of affine connections, curvature and osculating sub-spaces.
- 1993, M. A. Akivis, V. V. Goldberg, Projective Differential Geometry of Submanifolds, page v ↗,
- Note that projective differential geometry is a basis for Euclidean and non-Euclidean differential geometries since metric properties of submanifolds of Euclidean and non-Euclidean spaces should only be added to their projective properties.
- 2012, Heinrich W. Guggenheimer, Differential Geometry, page 145 ↗,
- In this sense, C^{k_0} is the natural hypothesis of differentiability in the particular question of differential geometry.
- 1945, Eric Temple Bell, The Development of Mathematics, 2nd Edition, 1992 Republication, page 358 ↗,
- Italian: geometria differenziale
- Spanish: geometría diferencial
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.003