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Non-Euclidean geometry and Timeline of manifolds

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Non-Euclidean geometry and Timeline of manifolds

Non-Euclidean geometry vs. Timeline of manifolds

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry. This is a timeline of manifolds, one of the major geometric concepts of mathematics.

Similarities between Non-Euclidean geometry and Timeline of manifolds

Non-Euclidean geometry and Timeline of manifolds have 12 things in common (in Unionpedia): Bernhard Riemann, Carl Friedrich Gauss, David Hilbert, Felix Klein, Hilbert's axioms, Hyperbolic geometry, János Bolyai, Manifold, Projective geometry, Real projective plane, Riemannian manifold, Uniformization theorem.

Bernhard Riemann

Georg Friedrich Bernhard Riemann (17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry.

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Carl Friedrich Gauss

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.

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David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

David Hilbert and Non-Euclidean geometry · David Hilbert and Timeline of manifolds · See more »

Felix Klein

Christian Felix Klein (25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory.

Felix Klein and Non-Euclidean geometry · Felix Klein and Timeline of manifolds · See more »

Hilbert's axioms

Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as the foundation for a modern treatment of Euclidean geometry.

Hilbert's axioms and Non-Euclidean geometry · Hilbert's axioms and Timeline of manifolds · See more »

Hyperbolic geometry

In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.

Hyperbolic geometry and Non-Euclidean geometry · Hyperbolic geometry and Timeline of manifolds · See more »

János Bolyai

János Bolyai (15 December 1802 – 27 January 1860) or Johann Bolyai, was a Hungarian mathematician, one of the founders of non-Euclidean geometry — a geometry that differs from Euclidean geometry in its definition of parallel lines.

János Bolyai and Non-Euclidean geometry · János Bolyai and Timeline of manifolds · See more »

Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Manifold and Non-Euclidean geometry · Manifold and Timeline of manifolds · See more »

Projective geometry

Projective geometry is a topic in mathematics.

Non-Euclidean geometry and Projective geometry · Projective geometry and Timeline of manifolds · See more »

Real projective plane

In mathematics, the real projective plane is an example of a compact non-orientable two-dimensional manifold; in other words, a one-sided surface.

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Riemannian manifold

In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.

Non-Euclidean geometry and Riemannian manifold · Riemannian manifold and Timeline of manifolds · See more »

Uniformization theorem

In mathematics, the uniformization theorem says that every simply connected Riemann surface is conformally equivalent to one of the three Riemann surfaces: the open unit disk, the complex plane, or the Riemann sphere.

Non-Euclidean geometry and Uniformization theorem · Timeline of manifolds and Uniformization theorem · See more »

The list above answers the following questions

Non-Euclidean geometry and Timeline of manifolds Comparison

Non-Euclidean geometry has 179 relations, while Timeline of manifolds has 252. As they have in common 12, the Jaccard index is 2.78% = 12 / (179 + 252).

References

This article shows the relationship between Non-Euclidean geometry and Timeline of manifolds. To access each article from which the information was extracted, please visit:

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