differential geometry
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Differential 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… … Wikipedia
differential 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 … Universalium
Differential 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:… … Wikipedia
Differential 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… … Wikipedia
differential 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 … Useful english dictionary
differential geometry — noun Date: circa 1909 a branch of mathematics using calculus to study the geometric properties of curves and surfaces … New Collegiate Dictionary
List 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… … Wikipedia
Synthetic 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… … Wikipedia
Affine 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… … Wikipedia
Discrete differential geometry — is the study of discrete counterparts of notions in differential geometry. Instead of smooth curves and surfaces, there are polygons, meshes, and simplicial complexes. It is used in the study of computer graphics and topological combinatorics.… … Wikipedia
