Faster access than browser!Similarities between Differential form and Lie group
Differential form and Lie group have 15 things in common (in Unionpedia): Abelian group, Élie Cartan, Circle group, Differentiable manifold, Gauge theory, Lie algebra, Lie group, Linear map, Mathematics, Orientability, Riemannian manifold, Smoothness, Tangent bundle, Tangent space, Unitary group.
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
Abelian group and Differential form · Abelian group and Lie group ·
Élie Cartan
Élie Joseph Cartan, ForMemRS (9 April 1869 – 6 May 1951) was an influential French mathematician who did fundamental work in the theory of Lie groups and their geometric applications.
Élie Cartan and Differential form · Élie Cartan and Lie group ·
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 Differential form · Circle group and Lie group ·
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 Differential form · Differentiable manifold and Lie group ·
Gauge theory
In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under certain Lie groups of local transformations.
Differential form and Gauge theory · Gauge theory and Lie group ·
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.
Differential form and Lie algebra · Lie algebra and Lie group ·
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.
Differential form and Lie group · Lie group and Lie group ·
Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
Differential form and Linear map · Lie group and Linear map ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Differential form and Mathematics · Lie group and Mathematics ·
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.
Differential form and Orientability · Lie group and Orientability ·
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.
Differential form and Riemannian manifold · Lie group and Riemannian manifold ·
Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.
Differential form and Smoothness · Lie group and Smoothness ·
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.
Differential form and Tangent bundle · Lie group and Tangent bundle ·
Tangent space
In mathematics, the tangent space of a manifold facilitates the generalization of vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector that gives the displacement of the one point from the other.
Differential form and Tangent space · Lie group and Tangent space ·
Unitary group
In mathematics, the unitary group of degree n, denoted U(n), is the group of unitary matrices, with the group operation of matrix multiplication.
Differential form and Unitary group · Lie group and Unitary group ·
The list above answers the following questions
- What Differential form and Lie group have in common
- What are the similarities between Differential form and Lie group
Differential form and Lie group Comparison
Differential form has 118 relations, while Lie group has 235. As they have in common 15, the Jaccard index is 4.25% = 15 / (118 + 235).
References
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