Similarities between Bernhard Riemann and Manifold
Bernhard Riemann and Manifold have 23 things in common (in Unionpedia): Abelian variety, Algebraic geometry, Carl Friedrich Gauss, Carl Gustav Jacob Jacobi, Complex manifold, Differential geometry, Dimension, Elliptic integral, General relativity, Harmonic function, Henri Poincaré, Leonhard Euler, Manifold, Mathematical analysis, Mathematical physics, Mathematics, Non-Euclidean geometry, Riemann surface, Riemannian manifold, Theorema Egregium, Topology, Uniformization theorem, William Kingdon Clifford.
Abelian variety
In mathematics, particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that can be defined by regular functions.
Abelian variety and Bernhard Riemann · Abelian variety and Manifold ·
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Algebraic geometry and Bernhard Riemann · Algebraic geometry and Manifold ·
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.
Bernhard Riemann and Carl Friedrich Gauss · Carl Friedrich Gauss and Manifold ·
Carl Gustav Jacob Jacobi
Carl Gustav Jacob Jacobi (10 December 1804 – 18 February 1851) was a German mathematician, who made fundamental contributions to elliptic functions, dynamics, differential equations, and number theory.
Bernhard Riemann and Carl Gustav Jacob Jacobi · Carl Gustav Jacob Jacobi and Manifold ·
Complex manifold
In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic.
Bernhard Riemann and Complex manifold · Complex manifold and Manifold ·
Differential geometry
Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.
Bernhard Riemann and Differential geometry · Differential geometry and Manifold ·
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
Bernhard Riemann and Dimension · Dimension and Manifold ·
Elliptic integral
In integral calculus, elliptic integrals originally arose in connection with the problem of giving the arc length of an ellipse.
Bernhard Riemann and Elliptic integral · Elliptic integral and Manifold ·
General relativity
General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.
Bernhard Riemann and General relativity · General relativity and Manifold ·
Harmonic function
In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f: U → R where U is an open subset of Rn that satisfies Laplace's equation, i.e. everywhere on U. This is usually written as or.
Bernhard Riemann and Harmonic function · Harmonic function and Manifold ·
Henri Poincaré
Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.
Bernhard Riemann and Henri Poincaré · Henri Poincaré and Manifold ·
Leonhard Euler
Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.
Bernhard Riemann and Leonhard Euler · Leonhard Euler and Manifold ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Bernhard Riemann and Manifold · Manifold and Manifold ·
Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
Bernhard Riemann and Mathematical analysis · Manifold and Mathematical analysis ·
Mathematical physics
Mathematical physics refers to the development of mathematical methods for application to problems in physics.
Bernhard Riemann and Mathematical physics · Manifold and Mathematical physics ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Bernhard Riemann and Mathematics · Manifold and Mathematics ·
Non-Euclidean geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.
Bernhard Riemann and Non-Euclidean geometry · Manifold and Non-Euclidean geometry ·
Riemann surface
In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.
Bernhard Riemann and Riemann surface · Manifold and Riemann surface ·
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.
Bernhard Riemann and Riemannian manifold · Manifold and Riemannian manifold ·
Theorema Egregium
Gauss's Theorema Egregium (Latin for "Remarkable Theorem") is a major result of differential geometry proved by Carl Friedrich Gauss that concerns the curvature of surfaces.
Bernhard Riemann and Theorema Egregium · Manifold and Theorema Egregium ·
Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
Bernhard Riemann and Topology · Manifold and Topology ·
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.
Bernhard Riemann and Uniformization theorem · Manifold and Uniformization theorem ·
William Kingdon Clifford
William Kingdon Clifford FRS (4 May 1845 – 3 March 1879) was an English mathematician and philosopher.
Bernhard Riemann and William Kingdon Clifford · Manifold and William Kingdon Clifford ·
The list above answers the following questions
- What Bernhard Riemann and Manifold have in common
- What are the similarities between Bernhard Riemann and Manifold
Bernhard Riemann and Manifold Comparison
Bernhard Riemann has 105 relations, while Manifold has 286. As they have in common 23, the Jaccard index is 5.88% = 23 / (105 + 286).
References
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