| 词汇 | tangent-bundle |
| 释义 | BETA tangent bundlecollocation in Englishmeanings of tangentand bundleThese words are often used together. Click on the links below to explore the meanings. tangent noun[ C ] uk /ˈtæn.dʒənt/ us /ˈtæn.dʒənt/ a straight line that touches but does not cut into ... See more at tangent 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 tangent bundletangent bundle In particular, it will become important to show that their unit tangent vectors form a set of measure zero in the unit tangentbundle. This result can also be stated in terms of the geodesic flow on the unit tangentbundle of a manifold with negative sectional curvature. The gain of considering these data is a conjugacy on the hyperbolic set which can be extended to its tangentbundle. We show that there exists a local product structure in the unit tangentbundle of the manifold which is invariant under the geodesic flow. This means that the tangentbundle of the ambient manifold can be split into two or three invariant sub-bundles as follows. The tangentbundle must be thought of as the state space for the system. For fixed r 0, the unit tangentbundle is foliated into these spheres. This follows from the fact, mentioned above, that subbundles of the tangentbundle can be identified with forms and forms can be approximated by analytic ones. Thus, the regularization of this singularity can be viewed as excising this neighborhood of the singularity and attaching the northern hemisphere of the unit tangentbundle of the sphere. Unlike the 2-sphere, the 3-sphere admits nonvanishing vector fields (sections of its tangentbundle). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The functor taking each manifold to its tangentbundle is an example of a section of this bundle object. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. By analogy, the "k" -th order tangentbundle is the collection of curves modulo the relation of "k" -th order contact. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The construction may be thought of as defining an analog of the tangentbundle in the following way. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Important examples of vector bundles include the tangentbundle and cotangent bundle of a smooth manifold. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Recall that a (smooth) manifold has a unique tangentbundle and a unique stable normal bundle. 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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