Search results
Results from the WOW.Com Content Network
In mathematics, the theory of fiber bundles with a structure group (a topological group) allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from to , which are both topological spaces with a group action of . For a fiber bundle F with structure group G, the transition functions of the fiber (i.e ...
Connection (vector bundle) In mathematics, and especially differential geometry and gauge theory, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. The most common case is that of a linear connection on a vector bundle, for ...
Formal definition. A principal -bundle, where denotes any topological group, is a fiber bundle: together with a continuous right action such that preserves the fibers of (i.e. if then for all ) and acts freely and transitively (meaning each fiber is a G-torsor) on them in such a way that for each and , the map sending to is a homeomorphism.
Principal faculty. To have 25% as minimum of these professors in any university (public or private) is mandatory. Full professor (Profesor Principal) - PhD and MSc required, and former Associate professor or 15 years of experience (minimum) as researcher in the field to apply.
Principal Financial Group, Inc. View of the 801 Grand. The headquarters of its owner, Principal Financial Group is in the foreground at 711 High Street. Principal Financial Group is an American global financial investment management and insurance company headquartered in Des Moines, Iowa, U.S.
A principal connection can be viewed as a special case of the notion of an Ehresmann connection, and is sometimes called a principal Ehresmann connection. It gives rise to (Ehresmann) connections on any fiber bundle associated to P {\displaystyle P} via the associated bundle construction.
Definition. A spin structure on an orientable Riemannian manifold with an oriented vector bundle is an equivariant lift of the orthonormal frame bundle with respect to the double covering . In other words, a pair is a spin structure on the SO ( n )-principal bundle when. a) is a principal Spin ( n )-bundle over , and.
Bernoulli's principle can be derived from the principle of conservation of energy. This states that, in a steady flow, the sum of all forms of energy in a fluid is the same at all points that are free of viscous forces. This requires that the sum of kinetic energy, potential energy and internal energy remains constant.