differential geometry
1Differential geometry — A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines. Differential geometry is a mathematical discipline that uses the techniques of differential and integral calculus, as well as… …
2differential geometry — Math. the branch of mathematics that deals with the application of the principles of differential and integral calculus to the study of curves and surfaces. * * * Field of mathematics in which methods of calculus are applied to the local geometry …
3Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …
4Differential geometry of curves — This article considers only curves in Euclidean space. Most of the notions presented here have analogues for curves in Riemannian and pseudo Riemannian manifolds. For a discussion of curves in an arbitrary topological space, see the main article… …
5differential geometry — noun Study of geometry using differential calculus …
6differential geometry — noun : geometry that involves the calculus in its development * * * Math. the branch of mathematics that deals with the application of the principles of differential and integral calculus to the study of curves and surfaces …
7differential geometry — noun Date: circa 1909 a branch of mathematics using calculus to study the geometric properties of curves and surfaces …
8List of differential geometry topics — This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. Contents 1 Differential geometry of curves and surfaces 1.1 Differential geometry of curves 1.2 Differential… …
9Synthetic differential geometry — In mathematics, synthetic differential geometry is a reformulation of differential geometry in the language of topos theory. There are several insights that allow for such a reformulation. The first is that most of the analytic data for… …
10Affine differential geometry — Affine differential geometry, as its name suggests, is a type of differential geometry. The basic difference between affine and Riemannian differential geometry is that in the affine case we introduce volume forms over a manifold instead of… …
