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

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.