1) Pontrjagin characteristic form
Pontrjagin示性式
2) characteristic forms
示性式
1.
In the paper [1], we gave the integral formula of the general characteristic forms of a Riemannian manifold.
在[1]中,我们给出了一个黎曼流形的一般示性式的积分公式。
3) 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。
4) Pontrjagin spaces
Pontrjagin空间
1.
We show that the Putnam-Puglede theorem holds, if the normal operator A on the Pontrjagin spaces has not a neutral invariant subspace.
证明了:当Pontrjagin空间上的正规算子A没有零性不变子空间时,Putnam- Fuglede定理成立;当正规算子A有零性不变子空问时,通过构造反例说明此时Putnam- Fuglede定理不成立,并对Π1空间上算子相关的交换性条件进行了讨论,得到了Π1空间上算子代数的二次交换定理。
2.
In this paper, problems of conditional positive forms and dilations are studied, and dilation theorems of symmetric operator on Pontrjagin spaces are obtained.
得到了Pontrjagin空间上对称算子的扩张定理。
3.
We consider the operator algebras on the Pontrjagin spaces, and study the classification problem of degenerate operator algebras, the derivations problem of operator algebras , and the symmetric problem of ideals in operator algebras.
本文考虑Pontrjagin空间上的算子代数。
5) determinant polynomial
示性多项式
6) sym-plectic Pontryagin characteristic form
辛Pontryagin示性式
补充资料:连续性与非连续性(见间断性与不间断性)
连续性与非连续性(见间断性与不间断性)
continuity and discontinuity
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