• is a glossary of terms specific to differential geometry and differential topology. The following three glossaries are closely related: Glossary of general...
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  • Thumbnail for Differential topology
    sense differential topology is distinct from the closely related field of differential geometry, which concerns the geometric properties of smooth manifolds...
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  • glossaries Glossary of algebraic topology Glossary of differential geometry and topology Glossary of areas of mathematics Glossary of Riemannian and metric...
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  • 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...
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  • Thumbnail for Differential geometry
    space. Differential geometry is closely related to, and is sometimes taken to include, differential topology, which concerns itself with properties of differentiable...
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  • algebraic topology topics, glossary of category theory, glossary of differential geometry and topology, Timeline of manifolds. Convention: Throughout the...
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  • This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory...
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  • and bending, like dimension. Glossary of differential geometry and topology Glossary of general topology Glossary of Riemannian and metric geometry Glossary...
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  • 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) - 00:20, 2 July 2025
  • amenable to the tools of high-dimensional geometric topology, and hence considerably easier. Glossary of differential geometry and topology Roman 2008, p. 93...
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  • 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
  • Thumbnail for Topology
    at The Geometry Center. Topology Atlas Topology Course Lecture Notes Aisling McCluskey and Brian McMaster, Topology Atlas. Topology Glossary Moscow 1935:...
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  • 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
  • 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
  • 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
  • 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
  • theory and representation theory, as well as analysis, and spurred the development of algebraic and differential topology. Riemannian geometry was first...
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  • The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics. For instance...
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  • Thumbnail for Algebraic geometry
    parallels developments in topology, differential and complex geometry. One key achievement of this abstract algebraic geometry is Grothendieck's scheme...
    62 KB (7,500 words) - 00:39, 30 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...
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  • Thumbnail for Differential geometry of surfaces
    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
  • processing Discrete differential geometry Glossary of differential geometry and topology Industrial CT scanning List of interactive geometry software MeshLab...
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  • topology as well as in algebraic geometry (over the complex numbers for definiteness). The glossary also includes notions from Hamiltonian geometry,...
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  • 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...
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  • 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
  • Thumbnail for Manifold
    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...
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  • role in mathematical analysis and algebraic geometry. A simple example of an algebraic function is given by the left side of the unit circle equation: x...
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  • Thumbnail for Algebraic topology
    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...
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  • Thumbnail for Geodesic
    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...
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  • Ricci curvature (category Differential geometry)
    In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian...
    34 KB (5,863 words) - 23:45, 30 December 2024