Search for "Differential geometry" in article titles:

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. 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]
6. 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]
7. Differential geometry of manifolds: A branch of differential geometry dealing with various infinitesimal structures (cf. Infinitesimal structure) on a manifold and their connection with the structure of the manifold and its topology. (Mathematics) [70%] 2023-09-10
8. 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]
9. Differential geometry in statistical inference: Many of the key concepts and results of statistical inference (cf. also Statistics) can be expressed efficiently in terms of differential geometry. (Mathematics) [63%] 2023-10-18
10. Parabolic geometry (differential geometry): In differential geometry and the study of Lie groups, a parabolic geometry is a homogeneous space G/P which is the quotient of a semisimple Lie group G by a parabolic subgroup P. More generally, the curved analogs of a ... (Differential geometry) [86%] 2023-05-21 [Differential geometry] [Homogeneous spaces]...
11. 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]...
12. Ridge (differential geometry): In differential geometry, a smooth surface in three dimensions has a ridge point when a line of curvature has a local maximum or minimum of principal curvature. The set of ridge points form curves on the surface called ridges. (Differential geometry) [81%] 2023-11-23 [Differential geometry of surfaces] [Surfaces]...
13. 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
14. 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]
15. 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
16. Pullback (differential geometry): Suppose that φ : M → N is a smooth map between smooth manifolds M and N. Then there is an associated linear map from the space of 1-forms on N (the linear space of sections of the cotangent bundle) to the ... (Differential geometry) [81%] 2022-07-15 [Tensors] [Differential geometry]...
17. Development (differential geometry): In classical differential geometry, development refers to the simple idea of rolling one smooth surface over another in Euclidean space. For example, the tangent plane to a surface (such as the sphere or the cylinder) at a point can be ... (Differential geometry) [81%] 2023-10-31 [Differential geometry] [Connection (mathematics)]...
18. 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
19. Synthetic differential geometry: Geometers like S. Lie, E. (Mathematics) [81%] 2023-07-10
20. 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]
21. 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
22. 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]
23. Acceleration (differential geometry): In mathematics and physics, acceleration is the rate of change of velocity of a curve with respect to a given linear connection. This operation provides us with a measure of the rate and direction of the "bend". (Differential geometry) [81%] 2025-01-03 [Differential geometry] [Manifolds]...
24. 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]...
25. 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]
26. Translation surface (differential geometry): In differential geometry a translation surface is a surface that is generated by translations: If both curves are contained in a common plane, the translation surface is planar (part of a plane). This case is generally ignored. (Differential geometry) [70%] 2022-08-23 [Surfaces] [Differential geometry]...
27. Net (in differential geometry): A system $ \Sigma _ {n} = \{ \sigma ^ {1} \dots \sigma ^ {n} \} $ of $ n $ families $ ( n \geq 2) $ of sufficiently smooth curves in a domain $ G $ of an $ n $- dimensional differentiable manifold $ M $ such that: 1) through each point $ x \in G ... (Mathematics) [70%] 2023-10-18
28. Foundations of Differential Geometry: Foundations of Differential Geometry is an influential 2-volume mathematics book on differential geometry written by Shoshichi Kobayashi and Katsumi Nomizu. The first volume was published in 1963 and the second in 1969, by Interscience Publishers. (Organization) [70%] 2023-08-12 [Mathematics textbooks]
29. Translation surface (differential geometry): In differential geometry a translation surface is a surface that is generated by translations: If both curves are contained in a common plane, the translation surface is planar (part of a plane). This case is generally ignored. (Differential geometry) [70%] 2024-11-30 [Surfaces] [Differential geometry]...
30. Natural operator in differential geometry: In the simplest case, one considers two natural bundles over $m$-dimensional manifolds $F$ and $G$, cf. Natural transformation in differential geometry. (Mathematics) [63%] 2024-01-26