Similarities between Riemann sphere and Timeline of manifolds
Riemann sphere and Timeline of manifolds have 14 things in common (in Unionpedia): Atlas (topology), Bernhard Riemann, Complex manifold, Complex projective plane, Differentiable manifold, Gauss–Bonnet theorem, Manifold, Projective geometry, Riemann surface, Riemannian manifold, Simply connected space, Smoothness, Topological manifold, Uniformization theorem.
Atlas (topology)
In mathematics, particularly topology, one describes a manifold using an atlas.
Atlas (topology) and Riemann sphere · Atlas (topology) and Timeline of manifolds ·
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.
Bernhard Riemann and Riemann sphere · Bernhard Riemann and Timeline of manifolds ·
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.
Complex manifold and Riemann sphere · Complex manifold and Timeline of manifolds ·
Complex projective plane
In mathematics, the complex projective plane, usually denoted P2(C), is the two-dimensional complex projective space.
Complex projective plane and Riemann sphere · Complex projective plane and Timeline of manifolds ·
Differentiable manifold
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.
Differentiable manifold and Riemann sphere · Differentiable manifold and Timeline of manifolds ·
Gauss–Bonnet theorem
The Gauss–Bonnet theorem or Gauss–Bonnet formula in differential geometry is an important statement about surfaces which connects their geometry (in the sense of curvature) to their topology (in the sense of the Euler characteristic).
Gauss–Bonnet theorem and Riemann sphere · Gauss–Bonnet theorem and Timeline of manifolds ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Manifold and Riemann sphere · Manifold and Timeline of manifolds ·
Projective geometry
Projective geometry is a topic in mathematics.
Projective geometry and Riemann sphere · Projective geometry and Timeline of manifolds ·
Riemann surface
In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.
Riemann sphere and Riemann surface · Riemann surface and Timeline of manifolds ·
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.
Riemann sphere and Riemannian manifold · Riemannian manifold and Timeline of manifolds ·
Simply connected space
In topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two points can be continuously transformed (intuitively for embedded spaces, staying within the space) into any other such path while preserving the two endpoints in question.
Riemann sphere and Simply connected space · Simply connected space and Timeline of manifolds ·
Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.
Riemann sphere and Smoothness · Smoothness and Timeline of manifolds ·
Topological manifold
In topology, a branch of mathematics, a topological manifold is a topological space (which may also be a separated space) which locally resembles real n-dimensional space in a sense defined below.
Riemann sphere and Topological manifold · Timeline of manifolds and Topological manifold ·
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.
Riemann sphere and Uniformization theorem · Timeline of manifolds and Uniformization theorem ·
The list above answers the following questions
- What Riemann sphere and Timeline of manifolds have in common
- What are the similarities between Riemann sphere and Timeline of manifolds
Riemann sphere and Timeline of manifolds Comparison
Riemann sphere has 93 relations, while Timeline of manifolds has 252. As they have in common 14, the Jaccard index is 4.06% = 14 / (93 + 252).
References
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