Faster access than browser!Similarities between Complex projective space and Principal bundle
Complex projective space and Principal bundle have 14 things in common (in Unionpedia): Circle group, Differentiable manifold, Homogeneous space, Homotopy group, Hopf fibration, Lie group, Mathematics, Metric tensor, Princeton University Press, Projective space, Quaternionic projective space, Real projective space, Sphere, Topology.
Circle group
In mathematics, the circle group, denoted by T, is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers The circle group forms a subgroup of C×, the multiplicative group of all nonzero complex numbers.
Circle group and Complex projective space · Circle group and Principal bundle ·
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.
Complex projective space and Differentiable manifold · Differentiable manifold and Principal bundle ·
Homogeneous space
In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non-empty manifold or topological space X on which G acts transitively.
Complex projective space and Homogeneous space · Homogeneous space and Principal bundle ·
Homotopy group
In mathematics, homotopy groups are used in algebraic topology to classify topological spaces.
Complex projective space and Homotopy group · Homotopy group and Principal bundle ·
Hopf fibration
In the mathematical field of differential topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3-sphere (a hypersphere in four-dimensional space) in terms of circles and an ordinary sphere.
Complex projective space and Hopf fibration · Hopf fibration and Principal bundle ·
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 projective space and Lie group · Lie group and Principal bundle ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Complex projective space and Mathematics · Mathematics and Principal bundle ·
Metric tensor
In the mathematical field of differential geometry, a metric tensor is a type of function which takes as input a pair of tangent vectors and at a point of a surface (or higher dimensional differentiable manifold) and produces a real number scalar in a way that generalizes many of the familiar properties of the dot product of vectors in Euclidean space.
Complex projective space and Metric tensor · Metric tensor and Principal bundle ·
Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University.
Complex projective space and Princeton University Press · Princeton University Press and Principal bundle ·
Projective space
In mathematics, a projective space can be thought of as the set of lines through the origin of a vector space V. The cases when and are the real projective line and the real projective plane, respectively, where R denotes the field of real numbers, R2 denotes ordered pairs of real numbers, and R3 denotes ordered triplets of real numbers.
Complex projective space and Projective space · Principal bundle and Projective space ·
Quaternionic projective space
In mathematics, quaternionic projective space is an extension of the ideas of real projective space and complex projective space, to the case where coordinates lie in the ring of quaternions H. Quaternionic projective space of dimension n is usually denoted by and is a closed manifold of (real) dimension 4n.
Complex projective space and Quaternionic projective space · Principal bundle and Quaternionic projective space ·
Real projective space
In mathematics, real projective space, or RPn or \mathbb_n(\mathbb), is the topological space of lines passing through the origin 0 in Rn+1.
Complex projective space and Real projective space · Principal bundle and Real projective 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").
Complex projective space and Sphere · Principal bundle and Sphere ·
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.
Complex projective space and Topology · Principal bundle and Topology ·
The list above answers the following questions
- What Complex projective space and Principal bundle have in common
- What are the similarities between Complex projective space and Principal bundle
Complex projective space and Principal bundle Comparison
Complex projective space has 103 relations, while Principal bundle has 67. As they have in common 14, the Jaccard index is 8.24% = 14 / (103 + 67).
References
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