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searching for Linear connection 30 found (34 total)

Connection (affine bundle) (833 words) [view diff] exact match in snippet view article

linear connection on a vector bundle also is an affine connection. If Y → X is a vector bundle, both an affine connection Γ and an associated linear connection

Teleparallelism (2,598 words) [view diff] exact match in snippet view article find links to article

In this theory, a spacetime is characterized by a curvature-free linear connection in conjunction with a metric tensor field, both defined in terms of

Metric-affine gravitation theory (1,253 words) [view diff] exact match in snippet view article find links to article

gravitation theory are both a pseudo-Riemannian metric and a general linear connection on a world manifold X {\displaystyle X} . Metric-affine gravitation

Connector (mathematics) (78 words) [view diff] exact match in snippet view article

can be defined for a linear connection and used to define the covariant derivative on a vector bundle from the linear connection. Let ∇ be a connection

Flat vector bundle (417 words) [view diff] exact match in snippet view article find links to article

mathematics, a vector bundle is said to be flat if it is endowed with a linear connection with vanishing curvature, i.e. a flat connection. Let π : E → X {\displaystyle

Affine connection (7,683 words) [view diff] no match in snippet view article find links to article

definition of an affine connection as a covariant derivative or (linear) connection on the tangent bundle. A choice of affine connection is also equivalent

Connection (vector bundle) (8,674 words) [view diff] exact match in snippet view article

case is that of a linear connection on a vector bundle, for which the notion of parallel transport must be linear. A linear connection is equivalently specified

Connection (algebraic framework) (960 words) [view diff] exact match in snippet view article

modules and algebras. Connections on modules are generalization of a linear connection on a smooth vector bundle E → X {\displaystyle E\to X} written as

Connection (principal bundle) (3,438 words) [view diff] exact match in snippet view article

connections generalize to arbitrary principal bundles the concept of a linear connection on the frame bundle of a smooth manifold. Let π : P → M {\displaystyle

Affine manifold (844 words) [view diff] exact match in snippet view article find links to article

associated with an affine structure. Note there is a link between linear connection (also called affine connection) and a web. An affine manifold M {\displaystyle

Affine gauge theory (1,940 words) [view diff] exact match in snippet view article find links to article

}}_{\mu }].\qquad \qquad (3)} This affine connection defines a unique linear connection Γ = d x λ ⊗ [ ∂ λ + Γ λ μ ν ( x α ) x ˙ ν ∂ ˙ μ ] ( 4 ) {\displaystyle

Extended theories of gravity (769 words) [view diff] exact match in snippet view article find links to article

These are theories describing gravity, which are metric theory, "a linear connection" or related affine theories, or metric-affine gravitation theory.

Acceleration (differential geometry) (589 words) [view diff] exact match in snippet view article

the rate of change of velocity of a curve with respect to a given linear connection. This operation provides us with a measure of the rate and direction

Ehresmann connection (3,155 words) [view diff] no match in snippet view article find links to article

an Ehresmann connection on an associated bundle. For instance, a (linear) connection in a vector bundle E, thought of giving a parallelism of E as above

Exponential map (Riemannian geometry) (1,295 words) [view diff] exact match in snippet view article

section is Kobayashi & Nomizu (1996, §III.6), which uses the term "linear connection" where we use "affine connection" instead. Cheeger, Jeff; Ebin, David

Stochastic analysis on manifolds (3,647 words) [view diff] exact match in snippet view article find links to article

{R} ^{d}} . Thus, we require an additional structure in form of a linear connection or Riemannian metric to define martingales and Brownian motion on

Spray (mathematics) (2,329 words) [view diff] exact match in snippet view article

{L}}_{V}v={\tfrac {1}{2}}{\mathcal {L}}_{[V,H]-H}J} of the induced non-linear connection through the ordinary differential equation L V ϵ + ϵ = τ Θ V . {\displaystyle

Geodesic (4,137 words) [view diff] exact match in snippet view article find links to article

{\displaystyle S_{\lambda }:X\mapsto \lambda X.} A particular case of a non-linear connection arising in this manner is that associated to a Finsler manifold. Equation

G-structure on a manifold (2,576 words) [view diff] exact match in snippet view article find links to article

associated vector bundle: in particular on the tangent bundle. A linear connection ∇ on TM arising in this way is said to be compatible with Q. Connections

Stress (mechanics) (5,562 words) [view diff] exact match in snippet view article

describes the stress state of a uniformly stressed body. (Today, any linear connection between two physical vector quantities is called a tensor, reflecting

LEAK (497 words) [view diff] no match in snippet view article find links to article

advantage of newer more efficient power valves and the so-called "ultra-linear" connection of the output stage to obtain higher power output with triode-like

Walnut Creek (Tarrant County) (207 words) [view diff] exact match in snippet view article

Mansfield. The trail follows the course of the creek, and forms a linear connection with various public parks in the city, including Town Park, Katherine

Covariant derivative (6,478 words) [view diff] exact match in snippet view article find links to article

covariant derivative or other related variation on the idea of a linear connection. Suppose an open subset U {\displaystyle U} of a d {\displaystyle

Valve audio amplifier (1,996 words) [view diff] exact match in snippet view article find links to article

EL34 but occasionally KT88, 6550, or the lower-power EL84 in Ultra-Linear connection. The output stage is preceded by a voltage amplification stage (pentode

Lie derivative (6,845 words) [view diff] exact match in snippet view article find links to article

b_{s}}\end{aligned}}} Notice the new term at the end of the expression. For a linear connection Γ = ( Γ b c a ) {\displaystyle \Gamma =(\Gamma _{bc}^{a})} , the Lie

Youth International Party (13,274 words) [view diff] exact match in snippet view article find links to article

demonstrations, we had come to share an awareness that there was a linear connection between putting kids in prison for smoking pot in this country and

Tube sound (5,932 words) [view diff] exact match in snippet view article find links to article

the load also to cathode and screen terminals of the tube. An Ultra-linear connection and distributed loading are both in essence negative feedback methods

Stress triaxiality (3,496 words) [view diff] no match in snippet view article find links to article

tensor σ {\displaystyle {\boldsymbol {\sigma }}} . A very simple (linear) connection exists between Lode angle and skewness angle θ L = 30 0 − θ s k {\displaystyle

Alternatives to general relativity (14,388 words) [view diff] no match in snippet view article find links to article

gravitation. He proposed a model of space time with a metric tensor and a linear "connection" compatible with the metric but not necessarily symmetric. The torsion

American Idol season 12 (6,796 words) [view diff] exact match in snippet view article find links to article

did not show the tirade and what was shown appeared to have no real linear connection with the leaked footage. In April 2013, Carey noted during an episode