complex vector bundle造句
例句與造句
- The basic invariant of a complex vector bundle is a Chern class.
- Complex vector bundles can be viewed as real vector bundles with additional structure.
- Likewise, every complex vector bundle on a manifold carries a Spin c structure.
- A complex vector bundle is canonically oriented; in particular, one can take its Euler class.
- If " M " is an almost complex manifold, then its tangent bundle is a complex vector bundle.
- It's difficult to find complex vector bundle in a sentence. 用complex vector bundle造句挺難的
- There is a corresponding construction using real vector bundles instead of complex vector bundles, which gives an 8-periodic spectrum.
- Thus the spaces & Omega; 0, 1 and & Omega; 1, 0 determine complex vector bundles on the complex manifold.
- The theorem above holds for complex vector bundles and integer coefficients or for real vector bundles with \ mathbb { Z } _ 2 coefficients.
- A real vector bundle admits an almost complex structure if and only if it is isomorphic to the underlying real bundle of a complex vector bundle.
- This is not true in the case of complex vector bundles, for example the tautological line bundle over the Riemann sphere is not isomorphic to its dual.
- The basic observation is that a complex vector bundle comes with a canonical orientation, ultimately because GL _ n ( \ mathbb { C } ) is connected.
- Also, the vector spaces are usually required to be over the real or complex numbers, in which case the vector bundle is said to be a real or complex vector bundle ( respectively ).
- The unitary group " U " in Bott's sense has a classifying space " BU " for complex vector bundles ( see Classifying space for U ( n ) ).
- He shows using the Leray Hirsch theorem that the total Chern class of an arbitrary finite rank complex vector bundle can be defined in terms of the first Chern class of a tautologically-defined line bundle.
- At least for X compact, K ^ 0 ( X ) is defined to be the Grothendieck group of the monoid of complex vector bundles on X . Also, K ^ 1 ( X ) is the group corresponding to vector bundles on the suspension of X . Topological K-theory is a generalized cohomology theory, so it gives a spectrum.