linear connection meaning in Hindi

Examples

1. Given an arbitrary linear connection \ Gamma on TX, the corresponding affine connection
2. It's a non-linear connection.
3. It is essential that, given a pseudo-Riemannian metric g, any linear connection \ Gamma on TX admits a splitting
4. By assuming that the linear connection is metric, it is possible to remove the unwanted freedom inherent in the non-metric theory.
5. This property, allied with the smoothness of the spacetime, gives rise to a smooth linear connection, an important structure in general relativity.
6. Metric-affine gravitation theory straightforwardly comes from gauge gravitation theory where a general linear connection plays the role of a connection tangent-valued form
7. This leads to linear connections between intention, behaviour, culture, etc ., and English usages, which can be false lines of corrolation.
8. In gauge gravitation theory on a world manifold X, one can consider an affine, but not linear connection on the tangent bundle TX of X.
9. The Great Rivers Greenway District does not have oversight over existing parks and recreation areas, but rather works to develop linear connections to connect to existing or planned parks.
10. In particular, on any associated vector bundle the principal connection induces a covariant derivative, an operator that can differentiate linear connection on the frame bundle of a smooth manifold.