| 词汇 | frame-bundle |
| 释义 | BETA frame bundlecollocation in Englishmeanings of frameand bundleThese words are often used together. Click on the links below to explore the meanings. frame noun[ C ] uk /freɪm/ us /freɪm/ a border that surrounds and supports a picture, door, ... See more at frame bundle noun[ C ] uk /ˈbʌn.dəl/ us /ˈbʌn.dəl/ a number of things that have been fastened or are ... See more at bundle Examples of frame bundleframe bundle The framebundle of a smooth manifold is the one associated to its tangent bundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A motivating example of a solder form is the tautological or fundamental form on the framebundle of a manifold. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In the modern approach, this is closely related to the definition of affine connections on the framebundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This gives an equivalent more geometric way of describing the connection in terms of lifting paths in the manifold to paths in the framebundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Along a curve in the surface, the connection defines a first order differential equation in the framebundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This enabled the curvature properties of the surface to be encoded in differential forms on the framebundle and formulas involving their exterior derivatives. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. From any vector bundle, one can construct the framebundle of bases which is a principal bundle (see below). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It can be constructed by a method entirely analogous to that of the ordinary framebundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The projection onto this subspace is defined by a differential 1-form on the orthonormal framebundle, the connection form. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These expressions are differential 2-forms on the total space of a framebundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. All bundles associated with a framebundle are natural. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. At the same time, gauge gravitation theory exemplifies field theory on a principal framebundle whose gauge symmetries are general covariant transformations which are not elements of a gauge group. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. More generally still, we can consider frame bundles associated to any vector bundle, or even arbitrary principal fiber bundles. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Tangent and frame bundles over a world manifold are natural bundles characterized by general covariant transformations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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