oriented manifold造句

例句与造句

1. For example, let " X " be an oriented manifold, not necessarily compact.
2. For "'CP "'2 this process ought to produce an oriented manifold.
3. Two oriented manifolds are oriented cobordant if and only if their Stiefel Whitney and Pontrjagin numbers are the same.
4. This is similar to the cobordism ring of oriented manifolds, except that the manifolds also have a vector bundle.
5. For non-oriented manifolds the easiest way to state a geometrization conjecture is to first take the oriented double cover.
6. It's difficult to find oriented manifold in a sentence. 用oriented manifold造句挺难的
7. On an oriented manifold, the proportionality of any two volume forms can be thought of as a geometric form of the Radon Nikodym theorem.
8. If the moduli space is a smooth, compact, oriented manifold or orbifold, then the integration ( or a fundamental class ) can be defined.
9. On an orientable but not oriented manifold, there are two choices of orientation; either choice allows one to integrate-forms over compact subsets, with the two choices differing by a sign.
10. where ? ( d ) is closed ( i . e . without boundary ) and oriented, then it is the boundary of some d + 1 dimensional oriented manifold M d + 1.
11. Let M _ 1 and M _ 2 be two smooth, oriented manifolds of equal dimension and V a smooth, closed, oriented manifold, embedded as a submanifold into both M _ 1 and M _ 2.
12. Let M _ 1 and M _ 2 be two smooth, oriented manifolds of equal dimension and V a smooth, closed, oriented manifold, embedded as a submanifold into both M _ 1 and M _ 2.
13. Further, Milnor and Wall used the spectral sequence to prove Thom's conjecture on the structure of the oriented cobordism ring : two oriented manifolds are cobordant if and only if their Pontryagin and Stiefel Whitney numbers agree.
14. If M is a closed, oriented manifold and if M'is obtained from M by removing an open ball, then the connected sum M \ mathrel { \ # }-M is the double of M '.
15. Once again, if we assume ? ( d + 1 ) can be expressed as an exterior product and that it can be extended into a d + 1-form in a d + 2 dimensional oriented manifold, we can define
16. If " M " is an oriented manifold, Aut ( " M " ) would be the orientation-preserving automorphisms of " M " and so the mapping class group of " M " ( as an oriented manifold ) would be index two in the mapping class group of " M " ( as an unoriented manifold ) provided " M " admits an orientation-reversing automorphism.
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