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complex vector bundle造句

"complex vector bundle"是什么意思   

例句與造句

  1. The basic invariant of a complex vector bundle is a Chern class.
  2. Complex vector bundles can be viewed as real vector bundles with additional structure.
  3. Likewise, every complex vector bundle on a manifold carries a Spin c structure.
  4. A complex vector bundle is canonically oriented; in particular, one can take its Euler class.
  5. If " M " is an almost complex manifold, then its tangent bundle is a complex vector bundle.
  6. It's difficult to find complex vector bundle in a sentence. 用complex vector bundle造句挺難的
  7. There is a corresponding construction using real vector bundles instead of complex vector bundles, which gives an 8-periodic spectrum.
  8. Thus the spaces & Omega; 0, 1 and & Omega; 1, 0 determine complex vector bundles on the complex manifold.
  9. The theorem above holds for complex vector bundles and integer coefficients or for real vector bundles with \ mathbb { Z } _ 2 coefficients.
  10. 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.
  11. 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.
  12. The basic observation is that a complex vector bundle comes with a canonical orientation, ultimately because GL _ n ( \ mathbb { C } ) is connected.
  13. 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 ).
  14. The unitary group " U " in Bott's sense has a classifying space " BU " for complex vector bundles ( see Classifying space for U ( n ) ).
  15. 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.
  16. 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.

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