Search for "Theorems in differential geometry" in article titles:

1. Nash theorems (in differential geometry): Two groups of theorems on isometrically imbedded and immersed Riemannian manifolds in a Euclidean space (see also Immersion of a manifold; Isometric immersion). The original versions are due to J. (Mathematics) [100%] 2023-10-13

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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 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) [80%] 2023-10-18
17. 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) [80%] 2024-01-26
18. Bernstein problem in differential geometry: It is a well-known and elementary fact in complex analysis that a bounded and holomorphic function on the whole plane (cf. also entire function) must be a constant (cf. (Mathematics) [80%] 2023-10-31 [Differential geometry] [Partial differential equations]...
19. 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) [80%] 2023-09-25
20. Laplace operators in differential geometry: In differential geometry there are a number of second-order, linear, elliptic differential operators bearing the name Laplacian. This article provides an overview of some of them. [80%] 2023-08-06 [Differential operators] [Differential geometry]...