Differential geometry

English

Noun

1. Template:Lb The study of geometry, especially geometric structures on differentiable manifolds, using techniques from calculus, linear algebra and multilinear algebra.
   • 1945, Template:W, The Development of Mathematics, 2nd Edition, 1992 Republication, page 358,

     Template:...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.

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