1) unoriented bordism class
未定向协边类
2) unorientated bordism subgroup
未定向协边子群
1.
In this paper, when the following two conditions are satisfied respectively: (1) given p(1≤p≤8),and let , (2)given q(1≤q≤4),and let we can determine some unorientated bordism subgroups .
本文在如下情况:(1)取定P(1≤P≤8),设K_i=8l_i+P(i=1,…,l),k_2>9/4(k_1-1)>O;(2)取定整数q(l≤q≤4)式,设k_1=4t_1+q(i=1,…,l),k_2>5/2(k_1-1)>0满足时,决定了一些非常非常余维数的未定向协边子群J_n~(k_1…k_l)。
3) indefinite frontiers
未定边界
4) cobordism class
协边类
1.
In this paper,we determinate the cobordism classes of (ML,T).
本文完全决定了 ( ML,T)的协边类 。
2.
In this paper, we calculate total Stiefel-Whitney classes of any vector bundle over the lens spaces L 3(p), study the existness of the involution (M 7+k ,T), and give their cobordism classes.
本文首先计算了 L 3( p)上任意向量丛的全 Stiefel-Whitney类 ,其次讨论了 ( M7+ k,T)的存在性 ,在存在的情形下 ,给出了带对合的流形 ( M7+ k,T) 协边类 。
3.
Let(M,T) be a smooth closed manifold with a smooth involution T and F={xT(x)=x,x∈M} the fixed point set of T on M,the authors studied the closed mainfold(M,T) with involution T of F=RP5×RP2s,and determined the possible dimensions and equivariant cobordism classification of(M,T).
考虑F=RP5×RP2s带有对合的闭流形(M,T)的等变协边分类,给出了完全决定非协边于零的带有对合的闭流形(M,T)的维数及等变协边类。
5) Bordism class
协边类
1.
In this paper,the bordism class of(M~(2m+4n+k-2),T)is determined.
本文决定了(M~(4n+k+2),T)的所有协边类。
2.
Characteristic Classes of Vector Bundles over Productive Space and Bordism Classification of Manifolds with Group Action;
令J_(n,k)~r是具有下述性质的未定向的n维上协边类α_n构成的集合：α_n存在一个代表元M。
6) cobordism class
上协边类
1.
Let Jrn,k denote the set of n-dimensional cobordism class containing a representative Mn admitting a(Z2)k-action with fixed point set of constant codimension r.
设(Z2)k作用于光滑闭流形Mn,其不动点集具有常余维数r,Jn,kr是具有上述性质的未定向n维上协边类[Mn]构成的集合。
2.
Let Jrn,k denote the set of n-dimensional unoriented cobordism class in Nn containing a representative Mn admitting a(Z2)k-action with fixed point set of constant codimension r.
设(Z2)k作用于光滑闭流形Mn,其不动点集具有常余维数r,Jnr,k是具有上述性质的未定向的n维上协边类[Mn]构成的集合。
3.
It s studied that the problem of finding which cobordism classes are represented by the total space of a fibering with prescribed base space N~m=RP(2)×RP(2)×RP(2)and determines the largest values of m for which there is an indecomposable M~n(n=19,21)fibered over the real projective space RP(m).
设 M~n,N~m 是光滑闭流形,p:M~n→N~m 为纤维丛投射,研究了当 N~m 为 RP(2)×RP(2)×RP(2)时,哪些上协边类具有代表元 M~n 使得 N~m 具有 N~m 上的纤维丛表示,另外,当n=19,21时,还决定了满足下述条件的最大值 m:存在不可分解的上协边类 a_n 及其代表元 M~n 使得 M~n 具有实射影空间 RP(m)上的纤维丛表示。
补充资料：恶向胆边生
1.谓胆子一大，什么坏事都干得出。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条