光滑连续严格接触同位素体通量的一个注记
A note on the volume flux of smooth and continuous strictly contact isotopies
摘要：
关于严格切触同位素的通量同态的这一注记补充了P. Spaeth和作者最近的论文[MS 11 a]。我们确定的体积流量限制到辛和保体积的接触同位素和他们的C^0-限制的一些类辛和接触流形和一些例子。特别是，我们看到，限制的流量可能无法满射。对于保持正则接触形式的合痕，它为零，但对于非正则接触形式，它可以是非平凡的。在上面引用的文章中讨论了应用。我们还发现了正则化严格接触合痕的障碍，这些障碍不存在于Hamilton合痕[Pol 01，5.2节]或接触合痕[MS 11b]中。
英文摘要：
This note on the flux homomorphism for strictly contact isotopies complements the recent paper [MS11a] by P. Spaeth and the author. We determine the volume flux restricted to symplectic and volume-preserving contact isotopies and their C^0-limits for some classes of symplectic and contact manifolds and for a number of examples. In particular, we see that the restriction of the flux may fail to be surjective. It vanishes for an isotopy preserving a regular contact form, but can be nontrivial for non-regular contact forms. Applications are discussed in the article cited above. We also find obstructions to regularizing a strictly contact isotopy that are not present for Hamiltonian isotopies [Pol01, Section 5.2] or contact isotopies [MS11b].
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