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1. Differential geometry: of curves and surfaces A branch of geometry dealing with geometrical forms, mainly with curves and surfaces, by methods of mathematical analysis. In differential geometry the properties of curves and surfaces are usually studied on a small scale, i.e. (Mathematics) [100%] 2023-09-16
2. Differential geometry: Differential geometry is a branch of mathematics which makes use of techniques of analysis, particularly calculus, to study geometric problems. Initially, geometers primarily sought to understand the geometry of curves and surfaces in 3-dimensional Euclidean space, and many important ... [100%] 2023-02-27 [Geometry]
3. Differential geometry: Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. (Branch of mathematics dealing with functions and geometric structures on differentiable manifolds) [100%] 2022-09-27 [Differential geometry] [Geometry processing]...
4. Differential geometry: Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. (Branch of mathematics dealing with functions and geometric structures on differentiable manifolds) [100%] 2025-01-17 [Differential geometry] [Geometry processing]...
5. Projective differential geometry: In mathematics, projective differential geometry is the study of differential geometry, from the point of view of properties of mathematical objects such as functions, diffeomorphisms, and submanifolds, that are invariant under transformations of the projective group. This is a mixture ... (Geometry) [81%] 2023-09-02 [Differential geometry] [Projective geometry]...
6. Local differential geometry: The part of differential geometry that studies properties of geometrical forms, in particular curves and surfaces, "in the small" . In other words, the structure of a geometrical form is studied in a small neighbourhood of an arbitrary point of it. (Mathematics) [81%] 2023-09-10
7. Synthetic differential geometry: In mathematics, synthetic differential geometry is a formalization of the theory of differential geometry in the language of topos theory. There are several insights that allow for such a reformulation. (Formalization in mathematical topos theory) [81%] 2023-07-02 [Differential geometry]
8. Conformal-differential geometry: A branch of conformal geometry in which the geometric quantities that are invariant under conformal transformations are studied by the methods of analysis, in the first instance, differential calculus. In the conformal plane $ M _ {2} $ each point or circle ... (Mathematics) [81%] 2023-05-31
9. Projective differential geometry: The branch of geometry in which one studies differential-geometric properties of curves and surfaces that are preserved under projective transformations. Such properties include, e.g., the concept of an asymptotic direction or, more generally, of conjugate directions, of an ... (Mathematics) [81%] 2023-09-22
10. Synthetic differential geometry: Geometers like S. Lie, E. (Mathematics) [81%] 2023-07-10
11. Differential algebraic geometry: Differential algebraic geometry is an area of differential algebra that adapts concepts and methods from algebraic geometry and applies them to systems of differential equations, especially algebraic differential equations. Another way of generalizing ideas from algebraic geometry is diffiety theory. [81%] 2023-12-04 [Differential algebra]
12. Affine differential geometry: The branch of geometry dealing with the differential-geometric properties of curves and surfaces that are invariant under transformations of the affine group or its subgroups. The differential geometry of equi-affine space has been most thoroughly studied. (Mathematics) [81%] 2023-09-13
13. Affine differential geometry: Affine differential geometry is a type of differential geometry which studies invariants of volume-preserving affine transformations. The name affine differential geometry follows from Klein's Erlangen program. [81%] 2024-09-13 [Differential geometry]
14. Abstract differential geometry: The adjective abstract has often been applied to differential geometry before, but the abstract differential geometry (ADG) of this article is a form of differential geometry without the calculus notion of smoothness, developed by Anastasios Mallios and Ioannis Raptis from ... (Differential geometry without calculus) [81%] 2025-09-01 [Differential geometry] [Sheaf theory]...
15. Affine differential geometry: Affine differential geometry is a type of differential geometry which studies invariants of volume-preserving affine transformations. The name affine differential geometry follows from Klein's Erlangen program. [81%] 2025-09-02 [Differential geometry]
16. Differential: The main linear part of increment of a function. 1) A real-valued function $ f $ of a real variable $ x $ is said to be differentiable at a point $ x $ if it is defined in some neighbourhood of this point and ... (Mathematics) [76%] 2023-02-02
17. Differential (mechanical device): A differential is a gear train with three drive shafts that has the property that the rotational speed of one shaft is the average of the speeds of the others. A common use of differentials is in motor vehicles, to ... (Mechanical device) [76%] 2023-05-10 [Articles containing video clips] [Auto parts]...
18. Differential (infinitesimal): The term differential is used in calculus to refer to an infinitesimal (infinitely small) change in some varying quantity. For example, if x is a variable, then a change in the value of x is often denoted Δx (pronounced delta ... (Infinitesimal) [76%] 2022-07-16 [Calculus]
19. Differential geometry of surfaces: In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives: extrinsically, relating to their embedding in Euclidean space ... (The mathematics of smooth surfaces) [70%] 2024-01-26 [Differential geometry of surfaces]
20. Differential geometry of surfaces: In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives: extrinsically, relating to their embedding in Euclidean space ... (The mathematics of smooth surfaces) [70%] 2023-12-15 [Differential geometry of surfaces]