微局部非线性条件

摘要：

本文给出了余切丛中一对子集不可分解的一个充分条件。这个条件是基于Kashiwara-Schapira对流形上层的微观局部分析。利用这个条件证明了实射影空间与复射影空间内的Clifford环面相互不可置换

英文摘要：

We formulate a sufficient condition for non-displaceability (by Hamiltonian symplectomorphisms which are identity outside of a compact) of a pair of subsets in a cotangent bundle. This condition is based on micro-local analysis of sheaves on manifolds by Kashiwara-Schapira. This condition is used to prove that the real projective space and the Clifford torus inside the complex projective space are mutually non-displaceable

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