Similarities between 3-manifold and Teichmüller space
3-manifold and Teichmüller space have 20 things in common (in Unionpedia): Annals of Mathematics, Ball (mathematics), Diffeomorphism, Differentiable manifold, Fundamental group, Geometric group theory, Henri Poincaré, Homeomorphism, Lamination (topology), Lie group, Mathematics, Orientability, Riemann surface, Riemannian manifold, Simply connected space, Sphere, Surface (topology), Torus, Uniformization theorem, William Thurston.
Annals of Mathematics
The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.
3-manifold and Annals of Mathematics · Annals of Mathematics and Teichmüller space ·
Ball (mathematics)
In mathematics, a ball is the space bounded by a sphere.
3-manifold and Ball (mathematics) · Ball (mathematics) and Teichmüller space ·
Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
3-manifold and Diffeomorphism · Diffeomorphism and Teichmüller space ·
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.
3-manifold and Differentiable manifold · Differentiable manifold and Teichmüller space ·
Fundamental group
In the mathematical field of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.
3-manifold and Fundamental group · Fundamental group and Teichmüller space ·
Geometric group theory
Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces).
3-manifold and Geometric group theory · Geometric group theory and Teichmüller space ·
Henri Poincaré
Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.
3-manifold and Henri Poincaré · Henri Poincaré and Teichmüller space ·
Homeomorphism
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
3-manifold and Homeomorphism · Homeomorphism and Teichmüller space ·
Lamination (topology)
In topology, a branch of mathematics, a lamination is a.
3-manifold and Lamination (topology) · Lamination (topology) and Teichmüller space ·
Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
3-manifold and Lie group · Lie group and Teichmüller space ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
3-manifold and Mathematics · Mathematics and Teichmüller space ·
Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
3-manifold and Orientability · Orientability and Teichmüller space ·
Riemann surface
In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.
3-manifold and Riemann surface · Riemann surface and Teichmüller space ·
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.
3-manifold and Riemannian manifold · Riemannian manifold and Teichmüller space ·
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.
3-manifold and Simply connected space · Simply connected space and Teichmüller space ·
Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
3-manifold and Sphere · Sphere and Teichmüller space ·
Surface (topology)
In topology and differential geometry, a surface is a two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space.
3-manifold and Surface (topology) · Surface (topology) and Teichmüller space ·
Torus
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.
3-manifold and Torus · Teichmüller space and Torus ·
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.
3-manifold and Uniformization theorem · Teichmüller space and Uniformization theorem ·
William Thurston
William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician.
3-manifold and William Thurston · Teichmüller space and William Thurston ·
The list above answers the following questions
- What 3-manifold and Teichmüller space have in common
- What are the similarities between 3-manifold and Teichmüller space
3-manifold and Teichmüller space Comparison
3-manifold has 185 relations, while Teichmüller space has 74. As they have in common 20, the Jaccard index is 7.72% = 20 / (185 + 74).
References
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