Faster access than browser!Similarities between Connection (mathematics) and Differential form
Connection (mathematics) and Differential form have 22 things in common (in Unionpedia): Élie Cartan, Bilinear form, Coordinate system, Covariance and contravariance of vectors, Covariant derivative, Curvature form, Derivative, Differential geometry, Differential operator, Directional derivative, Gauge theory, Jacobian matrix and determinant, Lie algebra, Lie group, Linear map, Manifold, Metric tensor, Principal bundle, Pseudo-Riemannian manifold, Riemannian manifold, Tangent space, Vector field.
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 Connection (mathematics) · Élie Cartan and Differential form ·
Bilinear form
In mathematics, more specifically in abstract algebra and linear algebra, a bilinear form on a vector space V is a bilinear map, where K is the field of scalars.
Bilinear form and Connection (mathematics) · Bilinear form and Differential form ·
Coordinate system
In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Connection (mathematics) and Coordinate system · Coordinate system and Differential form ·
Covariance and contravariance of vectors
In multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities changes with a change of basis.
Connection (mathematics) and Covariance and contravariance of vectors · Covariance and contravariance of vectors and Differential form ·
Covariant derivative
In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold.
Connection (mathematics) and Covariant derivative · Covariant derivative and Differential form ·
Curvature form
In differential geometry, the curvature form describes the curvature of a connection on a principal bundle.
Connection (mathematics) and Curvature form · Curvature form and Differential form ·
Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
Connection (mathematics) and Derivative · Derivative and Differential form ·
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.
Connection (mathematics) and Differential geometry · Differential form and Differential geometry ·
Differential operator
In mathematics, a differential operator is an operator defined as a function of the differentiation operator.
Connection (mathematics) and Differential operator · Differential form and Differential operator ·
Directional derivative
In mathematics, the directional derivative of a multivariate differentiable function along a given vector v at a given point x intuitively represents the instantaneous rate of change of the function, moving through x with a velocity specified by v. It therefore generalizes the notion of a partial derivative, in which the rate of change is taken along one of the curvilinear coordinate curves, all other coordinates being constant.
Connection (mathematics) and Directional derivative · Differential form and Directional derivative ·
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.
Connection (mathematics) and Gauge theory · Differential form and Gauge theory ·
Jacobian matrix and determinant
In vector calculus, the Jacobian matrix is the matrix of all first-order partial derivatives of a vector-valued function.
Connection (mathematics) and Jacobian matrix and determinant · Differential form and Jacobian matrix and determinant ·
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.
Connection (mathematics) and Lie algebra · Differential form and Lie algebra ·
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.
Connection (mathematics) and Lie group · Differential form 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.
Connection (mathematics) and Linear map · Differential form and Linear map ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Connection (mathematics) and Manifold · Differential form and Manifold ·
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.
Connection (mathematics) and Metric tensor · Differential form and Metric tensor ·
Principal bundle
In mathematics, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product of a space with a group.
Connection (mathematics) and Principal bundle · Differential form and Principal bundle ·
Pseudo-Riemannian manifold
In differential geometry, a pseudo-Riemannian manifold (also called a semi-Riemannian manifold) is a generalization of a Riemannian manifold in which the metric tensor need not be positive-definite, but need only be a non-degenerate bilinear form, which is a weaker condition.
Connection (mathematics) and Pseudo-Riemannian manifold · Differential form and Pseudo-Riemannian manifold ·
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.
Connection (mathematics) and Riemannian manifold · Differential form and Riemannian manifold ·
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.
Connection (mathematics) and Tangent space · Differential form and Tangent space ·
Vector field
In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.
Connection (mathematics) and Vector field · Differential form and Vector field ·
The list above answers the following questions
- What Connection (mathematics) and Differential form have in common
- What are the similarities between Connection (mathematics) and Differential form
Connection (mathematics) and Differential form Comparison
Connection (mathematics) has 74 relations, while Differential form has 118. As they have in common 22, the Jaccard index is 11.46% = 22 / (74 + 118).
References
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