Sentence examples for bundle connection from inspiring English sources
Furthermore, if the manifold (M) is simply connected, then the space of bundle connection pairs can be classified by a collection of Lie algebra valued 1-forms on the manifold Ωm (called integrated lassos).
When comparing the single bundle connection between BA and SMA, a positive correlation was found between the functional connectivity and the radius of the fiber bundle connecting the two regions.
These 1-forms are related to the differentials of elements of M. This last result generalizes Weil's characterization of U 1)—line bundle connection pairs by the curvature 2-form.
It is shown that the bundle connection pairs (E, ▽) (up to equivalence), with structure group G and fiber V, are in one to one correspondence with M a similar result has been announced by Kobayashi.
Simon [602] realized that this was just the holonomy of a natural bundle connection and that, moreover, this bundle and connection is precisely the one whose Chern integers are the TKN ^2) integers of Thouless et al. [646] (as discussed by Avron et al. [30]).
The positioning of each branch of the Purkinje network is most easily described in reference to the His bundle connection, or bundle branch.
Smooth manifolds and submanifolds, tensors and forms, Lie and exterior derivative, DeRham cohomology, distributions and the Frobenius theorem, vector bundles, connection theory, parallel transport and curvature, affine connections, geodesics and the exponential map, connections on the principal frame bundle.
Definition of covariant derivative for a vector bundle and connection on a principal bundle.
In the left ventricle photographs, the bundle branch connection is located near the center of the endocardium.
As in the rabbit left ventricle, the network was positioned so that the bundle branch connection coincided with the center of the septum wall.
Comcast offers its customers a variety of bundled services: connection to the internet, cable television, telephony and video on demand.
