1) Euler-Poincare characteristic
Euler-Poincare示性数
2) euler characteristic
Euler示性数
3) Euler-Poincare characteristic number
Euler-Poincar示性数
4) Euler characteristic form
Euler示性式
1.
We shall show that the Euler characteristic form of E plays the roleof the Stiefel-Whitney characteristic form of M, and the integral formula of the Eulercharacteristic form of E is just the generalized Gauss-Bonnet formula.
我们将指出:矢丛E的Euler示性式扮演了流形M的Stiefel-Whitney示性式的角色,不过这个示性式积分时必须mod。
5) Poincare series
Poincare级数
1.
In addition, we characterize the relation between relative invariants and invariants of the group G, and then we use Molien s Theorem of invariants to compute the Poincare series of relative invariants.
另外指出了该群的相对不变式和一般不变式的关系，并根据一般不变式的Poincare级数的Molien公式，计算出相对不变式的Poincare级数。
6) Euler Number
Euler数
1.
On A Group of Congruence of Bernoulli Number and Euler Number;
关于Bernoulli数与Euler数的一组同余式
2.
Some congruences concerning Euler numbers;
关于Euler数的一些同余式
3.
In this paper, the 6-dimensional totally real minimal submanifolds in a complex projective space CP~6 are studied and ‖R‖~2 and‖R_(ij)‖~2 are calculated by the Euler number of 6-dimensional compact Riemann manifold and Green theorem.
研究了复射影空间CP6中6维全实极小子流形,利用6维紧致黎曼流形的Euler数及Green定理,计算曲率张量R和Ricci张量Rij的模的平方,得到了数量曲率的拼挤常数,讨论了其局部结构。
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