关于勒让德同位素振荡能的注记
Remarks on the oscillation energy of Legendrian isotopies
摘要：
我们构造非紧接触流形包含紧凑的勒让德可以从他们的Reeb流与任意小的振动能量。我们利用这一点证明了由Rosen和Zhang所考虑的Shelukhin-Chekanov-Hellman伪度量在所构造的Legendrians的合痕类上是退化的。对勒让德同位素振荡能的其它方面进行了探讨。
英文摘要：
We construct non-compact contact manifolds containing compact Legendrians which can be displaced from their Reeb flow with arbitrarily small oscillation energy. We use this to show the Shelukhin-Chekanov-Hofer pseudo-metric considered by Rosen and Zhang is degenerate on the isotopy class of the constructed Legendrians. Other aspects related to oscillation energy of Legendrian isotopies are explored.
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