About: History of manifolds and varieties

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: History of manifolds and varieties Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FHistory_of_manifolds_and_varieties

The study of manifolds combines many important areas of mathematics: it generalizes concepts such as curves and surfaces as well as ideas from linear algebra and topology. Certain special classes of manifolds also have additional algebraic structure; they may behave like groups, for instance. In that case, they are called Lie Groups. Alternatively, they may be described by polynomial equations, in which case they are called algebraic varieties, and if they additionally carry a group structure, they are called algebraic groups.

Attributes	Values
rdfs:label	History of manifolds and varieties (en) Geschiedenis van variëteiten (nl)
rdfs:comment	The study of manifolds combines many important areas of mathematics: it generalizes concepts such as curves and surfaces as well as ideas from linear algebra and topology. Certain special classes of manifolds also have additional algebraic structure; they may behave like groups, for instance. In that case, they are called Lie Groups. Alternatively, they may be described by polynomial equations, in which case they are called algebraic varieties, and if they additionally carry a group structure, they are called algebraic groups. (en) De studie van variëteiten combineert tal van belangrijke deelgebieden van wiskunde: het geeft concepten zoals krommen en oppervlakken alsmede ideeën uit de lineaire algebra en topologie een algemene vorm. Bepaalde speciale klassen van variëteiten hebben ook nog een extra algebraïsche structuur; zij kunnen zich bijvoorbeeld gedragen als groepen. In dat geval worden zij Lie-groepen genoemd. Als alternatief kunnen zij worden beschreven door vergelijkingen, in welk geval zij algebraïsche variëteiten worden genoemd, en als zij bovendien voorzien zijn van een groepsstructuur, worden zij algebraïsche groepen genoemd. (nl)
dcterms:subject	Manifolds History of mathematics
Wikipage page ID	9479849 (xsd:integer)
Wikipage revision ID	1102953221 (xsd:integer)
Link from a Wikipage to another Wikipage	Carl Friedrich Gauss Romance languages Proceedings of the London Mathematical Society Bernhard Riemann Algebraic group Betti number Ricci flow Richard S. Hamilton Riemann surface Curve Jacobian variety Lie group Topological invariant Complete graph Analysis Situs (paper) Analytic continuation Mathematical induction Mathematics Elliptic function Topological property Elliptic geometry Elliptic integral Gaussian curvature Gauss–Bonnet theorem Generalized coordinates German language Graph (discrete mathematics) Möbius strip Theorema egregium Erhard Scholz André Weil Leonhard Euler Linear algebra Fundamental group Axis (mathematics) Parallel postulate Surface (topology) Topology Torus Whitney embedding theorem William Kingdon Clifford Algebraic varieties Algebraic variety Manifolds Curvature Ambient space Euclid Euclidean space Ferdinand Georg Frobenius Abelian function Non-Euclidean geometry Foundations of mathematics Simplicial complex Riemannian manifold Group (mathematics) Hamiltonian mechanics Hassler Whitney Henri Poincaré Hermann Weyl Hyperbolic geometry Hyperelliptic curve August Ferdinand Möbius Abelian integral Abelian variety History of mathematics Johann Benedict Listing János Bolyai Karl Weierstrass Lagrangian mechanics Differential geometry Dimension Manifold Poincaré conjecture Solomon Lefschetz Square root Topological manifold Euler characteristic Dimension (mathematics and physics) Lie Group Charles Émile Picard Rendiconti del Circolo Matematico di Palermo Giovanni Gerolamo Saccheri Two complex variables Orientable surface Niels Abel Polynomial equations Quartic polynomial Quintic polynomial Carl Gustav Jakob Jacobi Cubic polynomial Nikolai Ivanovich Lobachevsky dbr:Grigori__Perelman

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 53 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software