is a glossary of terms specific to differential geometry and differential topology. The following three glossaries are closely related: Glossary of general...
7 KB (869 words) - 08:54, 6 December 2024
sense differential topology is distinct from the closely related field of differential geometry, which concerns the geometric properties of smooth manifolds...
15 KB (1,837 words) - 17:30, 2 May 2025
space. Differential geometry is closely related to, and is sometimes taken to include, differential topology, which concerns itself with properties of differentiable...
46 KB (5,964 words) - 21:55, 19 May 2025
This is a glossary of some terms used in Riemannian geometry and metric geometry — it doesn't cover the terminology of differential topology. The following...
28 KB (3,756 words) - 23:58, 19 June 2025
glossaries Glossary of algebraic topology Glossary of differential geometry and topology Glossary of areas of mathematics Glossary of Riemannian and metric...
55 KB (7,693 words) - 07:57, 22 February 2025
algebraic topology topics, glossary of category theory, glossary of differential geometry and topology, Timeline of manifolds. Convention: Throughout the...
53 KB (7,647 words) - 02:51, 27 June 2025
Topoisomer Topology glossary Topological Galois theory Topological geometry Topological order Hubbard, John H.; West, Beverly H. (1995). Differential Equations:...
36 KB (4,214 words) - 23:46, 29 May 2025
Codimension (redirect from Principle of counting constants)
amenable to the tools of high-dimensional geometric topology, and hence considerably easier. Glossary of differential geometry and topology Roman 2008, p. 93...
7 KB (947 words) - 08:26, 18 May 2023
and bending, like dimension. Glossary of differential geometry and topology Glossary of general topology Glossary of Riemannian and metric geometry Glossary...
21 KB (2,589 words) - 14:35, 24 June 2025
This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory...
82 KB (12,496 words) - 00:02, 12 April 2025
Symplectic geometry a branch of differential geometry and topology whose main object of study is the symplectic manifold. Symplectic topology Synthetic...
71 KB (7,692 words) - 22:32, 2 March 2025
glossary of engineering terms is a list of definitions about the major concepts of engineering. Please see the bottom of the page for glossaries of specific...
251 KB (31,179 words) - 19:07, 15 June 2025
commutative algebra Glossary of differential geometry and topology Glossary of invariant theory Glossary of Riemannian and metric geometry Glossary of scheme theory...
81 KB (11,193 words) - 03:00, 26 December 2024
methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc...
102 KB (10,065 words) - 16:31, 26 June 2025
theory and representation theory, as well as analysis, and spurred the development of algebraic and differential topology. Riemannian geometry was first...
13 KB (1,471 words) - 23:46, 9 February 2025
and the derivatives of functions. The term is used in various branches of mathematics such as calculus, differential geometry, algebraic geometry and...
27 KB (3,994 words) - 18:39, 27 May 2025
glossary of engineering terms is a list of definitions about the major concepts of engineering. Please see the bottom of the page for glossaries of specific...
279 KB (31,747 words) - 13:03, 24 June 2025
This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. List of curves topics...
9 KB (682 words) - 03:50, 5 December 2024
processing Discrete differential geometry Glossary of differential geometry and topology Industrial CT scanning List of interactive geometry software MeshLab...
29 KB (4,211 words) - 05:58, 19 June 2025
In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most...
129 KB (17,641 words) - 09:51, 24 June 2025
The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics. For instance...
67 KB (10,058 words) - 14:15, 26 June 2025
Lie derivative (category Differential topology)
In differential geometry, the Lie derivative (/liː/ LEE), named after Sophus Lie by Władysław Ślebodziński, evaluates the change of a tensor field (including...
38 KB (7,051 words) - 18:44, 14 May 2025
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants...
19 KB (2,093 words) - 21:19, 12 June 2025
topology as well as in algebraic geometry (over the complex numbers for definiteness). The glossary also includes notions from Hamiltonian geometry,...
6 KB (554 words) - 11:39, 14 August 2024
parallels developments in topology, differential and complex geometry. One key achievement of this abstract algebraic geometry is Grothendieck's scheme...
62 KB (7,498 words) - 11:10, 27 May 2025
Manifold (redirect from Manifold (topology))
distinguish between geometry and topology. All invariants of a smooth closed manifold are thus global. Algebraic topology is a source of a number of important global...
69 KB (9,547 words) - 19:07, 12 June 2025
Tensor field (category Differential topology)
or of the physical space. Tensor fields are used in differential geometry, algebraic geometry, general relativity, in the analysis of stress and strain...
26 KB (4,401 words) - 20:56, 18 June 2025
This is a glossary of arithmetic and diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass...
37 KB (4,753 words) - 14:39, 23 July 2024
Geodesic (category Differential geometry)
statements about the geodesic completeness of Riemannian manifolds Intrinsic metric – Concept in geometry/topology Isotropic line – Line along which a quadratic...
32 KB (4,312 words) - 20:24, 22 June 2025
This glossary of cellular and molecular biology is a list of definitions of terms and concepts commonly used in the study of cell biology, molecular biology...
337 KB (31,323 words) - 01:51, 26 June 2025