Find link

language:

Find link is a tool written by Edward Betts.

searching for Local diffeomorphism 11 found (31 total)

Exponential map (Lie theory) (2,325 words) [view diff] exact match in snippet view article

be a local diffeomorphism at all points. For example, the exponential map from s o {\displaystyle {\mathfrak {so}}} (3) to SO(3) is not a local diffeomorphism;

Cartan's equivalence method (1,252 words) [view diff] exact match in snippet view article find links to article

Cartan's method addresses the question of whether there exists a local diffeomorphism φ:M→N under which the G-structure on N pulls back to the given G-structure

Affine focal set (2,066 words) [view diff] exact match in snippet view article find links to article

Standard ideas can be used in singularity theory to classify, up to local diffeomorphism, the affine focal set. If the family of affine distance functions

Differential topology (1,837 words) [view diff] exact match in snippet view article find links to article

topology is blurred, however, in questions specifically pertaining to local diffeomorphism invariants such as the tangent space at a point. Differential topology

Étale morphism (2,493 words) [view diff] exact match in snippet view article find links to article

the condition needed to ensure that a map between manifolds is a local diffeomorphism, i.e. for any point y ∈ Y, there is an open neighborhood U of x such

Degree of a continuous mapping (1,903 words) [view diff] exact match in snippet view article find links to article

being a regular value, in a neighborhood of each xi the map f is a local diffeomorphism. Diffeomorphisms can be either orientation preserving or orientation

Peetre theorem (1,811 words) [view diff] exact match in snippet view article find links to article

linear mapping of vector bundles. The problem is invariant under local diffeomorphism, so it is sufficient to prove it when M is an open set in Rn and

Logarithm of a matrix (2,982 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\mathfrak {g}}} . Note that the exponential map is a local diffeomorphism between a neighborhood U of the zero matrix 0 _ ∈ g {\displaystyle

State observer (5,756 words) [view diff] exact match in snippet view article find links to article

transformation H ( x ) {\displaystyle H(x)} is guaranteed to be a local diffeomorphism. The diagonal matrix M ( x ^ ) {\displaystyle M({\hat {x}})} of gains

Jet (mathematics) (5,045 words) [view diff] exact match in snippet view article

neighborhood U of p. Abusing notation slightly, we may regard (xi) as a local diffeomorphism ( x i ) : M → R n {\displaystyle (x^{i}):M\rightarrow \mathbb {R}

Differential geometry of surfaces (17,614 words) [view diff] exact match in snippet view article find links to article

neighbourhood of p; more generally the map sending (p, v) to expp(v) gives a local diffeomorphism onto a neighbourhood of (p, p). The exponential map gives geodesic