Similarities between Exponential map (Lie theory) and Vector field
Exponential map (Lie theory) and Vector field have 7 things in common (in Unionpedia): Diffeomorphism, Geodesic, Lie algebra, Lie group, One-parameter group, Smoothness, Tangent space.
Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
Diffeomorphism and Exponential map (Lie theory) · Diffeomorphism and Vector field ·
Geodesic
In differential geometry, a geodesic is a generalization of the notion of a "straight line" to "curved spaces".
Exponential map (Lie theory) and Geodesic · Geodesic and Vector field ·
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.
Exponential map (Lie theory) and Lie algebra · Lie algebra and Vector field ·
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.
Exponential map (Lie theory) and Lie group · Lie group and Vector field ·
One-parameter group
In mathematics, a one-parameter group or one-parameter subgroup usually means a continuous group homomorphism from the real line \mathbb (as an additive group) to some other topological group G. That means that it is not in fact a group, strictly speaking; if \varphi is injective then \varphi(\mathbb), the image, will be a subgroup of G that is isomorphic to \mathbb as additive group.
Exponential map (Lie theory) and One-parameter group · One-parameter group and Vector field ·
Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.
Exponential map (Lie theory) and Smoothness · Smoothness and Vector field ·
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.
Exponential map (Lie theory) and Tangent space · Tangent space and Vector field ·
The list above answers the following questions
- What Exponential map (Lie theory) and Vector field have in common
- What are the similarities between Exponential map (Lie theory) and Vector field
Exponential map (Lie theory) and Vector field Comparison
Exponential map (Lie theory) has 39 relations, while Vector field has 92. As they have in common 7, the Jaccard index is 5.34% = 7 / (39 + 92).
References
This article shows the relationship between Exponential map (Lie theory) and Vector field. To access each article from which the information was extracted, please visit: