自伴线性算子Q^A及其在稳定积分流中的应用  

Self-Adjoint Linear Operator Q^A and Its Applications to Stable Integral Currents

作　　者：张学山[1] 

机构地区：[1]上海工程技术大学基础教学学院,上海201620

出　　处：《上海工程技术大学学报》2011年第3期258-261,共4页Journal of Shanghai University of Engineering Science

摘　　要：介绍了子流形上自伴线性算子QA及其性质,以及QA在积分流稳定性研究中的某些应用.利用QA研究了在三球面乘积流形的紧致子流形上稳定积分流的不存在性和同调群的消没问题.The self-adjoint linear operator QA its characteristics and applications to stable integral currents were summarized. Then,it is proved that the appropriate assumption on QA implies that there is no stable p_ current in a compact submanifold Nm immersed in the product manifold of three spheres.

关 键 词：子流形 稳定积分流 形算子 

分 类 号：O186[理学—数学]