ON NORMAL EULER NUMBERS OF EMBEDDING RP^2 IN INDEFINITE 4-MANIFOLDS  

作　　者：高红铸 

机构地区：[1]Institute of Systems Science, Academia Sinica, Beijing 100080, PRC

出　　处：《Chinese Science Bulletin》1991年第23期1940-1942,共3页

摘　　要：Let N be a closed, nonorientable surface, M be a simply connected 4-manifold. f: N→M is an embedding with normal bundle v_f. The normal Euler class e（v_f） of f is an element in H²（N,）, where is the local coefficient determined by w₁（v_f） =w₁（N）. It is very important to determine e（v_f）[N] for all embeddings. This problem is closely related to whether a two-dimensional homology class can be represented by a smooth embedded sphere. In this note, we determine all the possible normal Euler numbers of embedding real projective plane into indefinite 4-manifolds.

关 键 词：4-manifold NORMAL EULER number EMBEDDING 

分 类 号：N[自然科学总论]