EMBEDDED 2-SPHERES IN INDEFINITE 4-MANIFOLDS

作     者：GAN DANYAN(Depedmellt of Mathematics and Center for Mathematical Sciences, Zhejiang University Hangzhou310027, China.)(Project supported by the National Natural Science Foundation of China and by the Zhejiang NaturalScience Foundation.) GAN DANYAN(Depedmellt of Mathematics and Center for Mathematical Sciences, Zhejiang University Hangzhou310027, China.)(Project supported by the National Natural Science Foundation of China and by the Zhejiang NaturalScience Foundation.)

作者机构：ZHEJIANG UNIVDEPT MATHHANGZHOU 310027PEOPLES R CHINA ZHEJIANG UNIVCTR MATH SCIHANGZHOU 310027PEOPLES R CHINA 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：1996年第17卷第3期

页      面：257-262页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：国家自然科学基金 省市基金 

主　　题：Representing Characteristic Ordinary Primitive 

摘      要：The main results are as *** be an element of H2, where γ, δ1,…δn. arestandard generators. Suppose2≤n≤9.(1) If for some i and some i, then ζ can be represented by a smoothly embedded 2-sphere.(2) If ζ is a characteristic homology class, then ζ cannot be represented by a smoothlyembedded 2-sphere except for ζ2 = 16l+1 - n, l = 0 and (3) If ζ= dη for some d∈Z, where η is a primitive ordinary homology class with η2 = 0,then ζ is eqivalent to (d; d, 0,..., 0) and can be represented by a smoothly embedded 2-sphere.