euler class造句

The basic invariant of an oriented bundle is the Euler class.
The Gauss Bonnet integrand is the Euler class.
This isomorphism is realized by the Euler class.
This reflects the fact that the Euler class is unstable, as discussed below.
However, it only admits a nowhere vanishing section if its Euler class is zero.
It's difficult to find euler class in a sentence. 用euler class造句挺难的

Then the isomorphism \ psi of normal bundles exists whenever their Euler classes are opposite:
The Euler class, in turn, relates to all other characteristic classes of vector bundles.
As it is the top Chern class, it equals the Euler class of the bundle.
A complex vector bundle is canonically oriented; in particular, one can take its Euler class.
One can view this Stiefel-Whitney class as " the Euler class, ignoring orientation ".
Thus the Euler class is a generalization of the Euler characteristic to vector bundles other than tangent bundles.
The naturality of the Euler class means that when you change the Riemannian metric, you stay in the same cohomology class.
The multiplication ( that is, cup product ) by the Euler class of an oriented bundle gives rise to a Gysin sequence.
That means that the integral of the Euler class remains constant as you vary the metric, and so is an invariant of smooth structure.
In the integral case one needs to replace the wedge product with the Euler class with the cup product, and the pushforward map no longer corresponds to integration.

更多例句：下一页