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Heisenberg group and Vector field

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Heisenberg group and Vector field

Heisenberg group vs. Vector field

In mathematics, the Heisenberg group H, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form \end under the operation of matrix multiplication. In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.

Similarities between Heisenberg group and Vector field

Heisenberg group and Vector field have 8 things in common (in Unionpedia): Diffeomorphism, Exponential map (Lie theory), Geodesic, Lie algebra, Lie group, Real number, Stokes' theorem, Tangent bundle.

Diffeomorphism

In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.

Diffeomorphism and Heisenberg group · Diffeomorphism and Vector field · See more »

Exponential map (Lie theory)

In the theory of Lie groups, the exponential map is a map from the Lie algebra \mathfrak g of a Lie group G to the group, which allows one to recapture the local group structure from the Lie algebra.

Exponential map (Lie theory) and Heisenberg group · Exponential map (Lie theory) and Vector field · See more »

Geodesic

In differential geometry, a geodesic is a generalization of the notion of a "straight line" to "curved spaces".

Geodesic and Heisenberg group · Geodesic and Vector field · See more »

Lie algebra

In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.

Heisenberg group and Lie algebra · Lie algebra and Vector field · See more »

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.

Heisenberg group and Lie group · Lie group and Vector field · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Heisenberg group and Real number · Real number and Vector field · See more »

Stokes' theorem

In vector calculus, and more generally differential geometry, Stokes' theorem (also called the generalized Stokes theorem or the Stokes–Cartan theorem) is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus.

Heisenberg group and Stokes' theorem · Stokes' theorem and Vector field · See more »

Tangent bundle

In differential geometry, the tangent bundle of a differentiable manifold M is a manifold TM which assembles all the tangent vectors in M. As a set, it is given by the disjoint unionThe disjoint union ensures that for any two points x1 and x2 of manifold M the tangent spaces T1 and T2 have no common vector.

Heisenberg group and Tangent bundle · Tangent bundle and Vector field · See more »

The list above answers the following questions

Heisenberg group and Vector field Comparison

Heisenberg group has 96 relations, while Vector field has 92. As they have in common 8, the Jaccard index is 4.26% = 8 / (96 + 92).

References

This article shows the relationship between Heisenberg group and Vector field. To access each article from which the information was extracted, please visit:

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