Similarities between Complex manifold and Manifold
Complex manifold and Manifold have 19 things in common (in Unionpedia): Algebraic variety, Atlas (topology), Ball (mathematics), Betti number, Compact space, CR manifold, Differential geometry, Genus (mathematics), Holomorphic function, Hypersphere, Lie group, Manifold, Orientability, Riemann surface, Riemannian manifold, Simply connected space, Smoothness, Unit disk, Whitney embedding theorem.
Algebraic variety
Algebraic varieties are the central objects of study in algebraic geometry.
Algebraic variety and Complex manifold · Algebraic variety and Manifold ·
Atlas (topology)
In mathematics, particularly topology, one describes a manifold using an atlas.
Atlas (topology) and Complex manifold · Atlas (topology) and Manifold ·
Ball (mathematics)
In mathematics, a ball is the space bounded by a sphere.
Ball (mathematics) and Complex manifold · Ball (mathematics) and Manifold ·
Betti number
In algebraic topology, the Betti numbers are used to distinguish topological spaces based on the connectivity of n-dimensional simplicial complexes.
Betti number and Complex manifold · Betti number and Manifold ·
Compact space
In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).
Compact space and Complex manifold · Compact space and Manifold ·
CR manifold
In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge.
CR manifold and Complex manifold · CR 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.
Complex manifold and Differential geometry · Differential geometry and Manifold ·
Genus (mathematics)
In mathematics, genus (plural genera) has a few different, but closely related, meanings.
Complex manifold and Genus (mathematics) · Genus (mathematics) and Manifold ·
Holomorphic function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.
Complex manifold and Holomorphic function · Holomorphic function and Manifold ·
Hypersphere
In geometry of higher dimensions, a hypersphere is the set of points at a constant distance from a given point called its center.
Complex manifold and Hypersphere · Hypersphere and Manifold ·
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.
Complex manifold and Lie group · Lie group and Manifold ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Complex manifold and Manifold · Manifold and Manifold ·
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.
Complex manifold and Orientability · Manifold and Orientability ·
Riemann surface
In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.
Complex manifold 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.
Complex manifold and Riemannian manifold · Manifold and Riemannian manifold ·
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.
Complex manifold and Simply connected space · Manifold and Simply connected space ·
Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.
Complex manifold and Smoothness · Manifold and Smoothness ·
Unit disk
In mathematics, the open unit disk (or disc) around P (where P is a given point in the plane), is the set of points whose distance from P is less than 1: The closed unit disk around P is the set of points whose distance from P is less than or equal to one: Unit disks are special cases of disks and unit balls; as such, they contain the interior of the unit circle and, in the case of the closed unit disk, the unit circle itself.
Complex manifold and Unit disk · Manifold and Unit disk ·
Whitney embedding theorem
In mathematics, particularly in differential topology, there are two Whitney embedding theorems, named after Hassler Whitney.
Complex manifold and Whitney embedding theorem · Manifold and Whitney embedding theorem ·
The list above answers the following questions
- What Complex manifold and Manifold have in common
- What are the similarities between Complex manifold and Manifold
Complex manifold and Manifold Comparison
Complex manifold has 47 relations, while Manifold has 286. As they have in common 19, the Jaccard index is 5.71% = 19 / (47 + 286).
References
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